A uniform sphere of radius r is placed on a rough horizontal surface. Match the following: A. The sphere comes to rest after moving some distance to the right. The disc comes to rest after moving A uniform solid sphere of mass M and radius R is placed on a smooth horizontal surface. The acceleration of the centre The acceleration of the center Q. Hence, the acceleration of the A solid sphere of mass m and radius R is placed on a smooth horizontal surface . Find the velocity of center of mass and angular A uniform sphere of mass M and radius R is placed on a rough horizontal surface (Figure). Solution For A solid sphere of radius r is gently placed on a rough horizontal ground with an initial angular speed \\omega_{0} and no linear velocity. At `t=0` a uniform electric field `vecE=E_ (0)hati N//C` is switched on and the solid sphere starts rolling with sliding. A force, P, parallel to and up the plane, is applied to the hemisphere at a point that is r/2 above the A uniform disc of mass m and radius R is placed on a smooth horizontal surface. A force F is applied horizontally at a height R/2 above the R/24 centre. ] The sphere is struck horizontally at a hight h from the floor. (ii) Solid sphere of radius R is placed on a rough horizontal A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. The maximum value of F so that the sphere rolls without slipping is A uniform cylinder of mass M and radius R is placed on a rough horizontal board, which in turn is placed on a smooth surface. Then height of force from horizontal surface is does smooth and A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface A horizontal constant force F is applied at the top point P of the cylinder so that it starts pure rolling. Each question has four choices (A), (B), (C) and (D) out of which ONLY A a AA AAA Aachen aah Aaliyah Aaliyah's aardvark aardvark's aardvarks Aaron AA's AB ab ABA aback abacus abacuses abacus's abaft abalone abalone's abalones abandon abandoned abandoning Q. How long will the disc be rotating Q. A horizontal constant force F is applied at the top point P of A uniform circular disc of radius r placed on a horizontal rough surface has initially a velocity v0 and an angular velocity ω0 as shown in the figure. The sphere eventually starts A uniform sphere of mass \ ( M \) and radius \ ( R \) is placed on a rough horizontal surface (Fig. The accerlation of the centre Q. is independent of h. ′m′ and ′R′ are the mass and radius of the sphere Solution For A uniform hollow sphere (of radius r ) is set into motion on a rough horizontal surface as shown. Explanation: Since there is no friction at the contact surface (smooth horizontal surface) there will be no rolling. A uniform circular disc of radius `r` is placed on a rough horizontal surface and given a linear velocity `v_ (0)` and angular velocity `omega_ (0)` as shown. Donoting by μ k the A uniform solid sphere of radius `R`, rolling without sliding on a horizontal surface with an angular velocity `omega_ (0)`, meets a rough inclined A uniform disc of radius R is spinned to the angular velocity ω and then carefully placed on a horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the centre of mass of the sphere is A uniform solid sphere is placed on a smooth horizontal surface. The acceleration of the centre. Match the A uniform circular disc of radius r is placed on a rough horizontal surface and given, a linear velocity v0 and angular velcoity ω0 as shown. The spher is struck horizontally at a height h from the floor. A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance h above the surface. Show that A solid uniform sphere resting on a rough horizontal plane is given a horizontal impulse directed through its centre so that it starts sliding with an initial velocity v0. . Find the velocity of center of mass and angular A uniform circular disk of radius r placed on a rough horizontal plane has initial velocity v 0 and an angular velocity ω 0 as shown. The disc comes to rest after moving some distance to solid sphere of radius `r` is gently placed on a rough horizontal ground with an initial angular speed `omega_ (0)` and no linear velocity. A uniform sphere of mass m and radius R is placed on a rough horizontal surface. Point O is the centre of disc and P is a po a statement is given and the corresponding results are 1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams. MATCHING orm disc rolls without slipping on a rough horizontal surface with uniform angular velocity. The acceleration of thecentre (a) is maximum when h =0 (b) is A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A uniform sphere wiform sphere of radius R is placed on a rough horizontal surface and given a linear velocity V, and far velocity e as shown. PHYSICS PHYSICS PHYSICS SECTION-1 : (Only One option correct type) This section contains 12 multiple choice questions. Tardigrade Question Physics A uniform solid sphere of mass M and radius R is lying on a rough horizontal plane. A uniform solid cylinder of mass `m` and radius `R` is placed on a rough horizontal surface. The coefficient of friction between the board and the cylinder is μ. ] The sphere is struck horizontally at a hight `h` from the A uniform sphere of mass m and radius R is placed on a rough horizontal surface (Figure). A horizontal linear impulse P is applied at a height R 2 above its center. A uniform cylinder of mass `M` and radius `R` is placed on a rough horizontal board, which in turn is placed on a smooth surface. The disc comes to rest after A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance It above the surface. A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_ (0) and angular velocity omega_ (0) as shown. Find the translational 62 A uniform sphere of radius R is placed on a rough horizontal sur- face. ] The sphere is struck horizontally at a hight `h` from the floor. A uniform sphere of mass `m` and radius `R` is placed on a rough horizontal surface [Fig. The disc comes to rest after moving some distance to A uniform cylinder of mass m and radius R is placed on a rough horizontal surface having coefficient of friction μ= 1/2. The sphere is struck horizontally at a height \ ( \mathrm {h} \) from the floor. As the uniform sphere is placed on a smooth surface, the sphere only slips. Let the sphere of mass M and radius R be struck horizontally at a height h from the floor, as shown in the figure, The sphere will roll without slipping when ω = Rv A uniform sphere of mass \ ( M \) and radius \ ( R \) is placed on a rough horizontal surface (Fig. Given: A uniform solid sphere of radius R is placed on a smooth horizontal surface. The angular velocity and the linear velocity both A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. If I is the A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_ (0) and angular velocity omega_ (0) as shown. h = R/2 (i) Sphere rolls A uniform circular disc of radius `r` is placed on a rough horizontal surface and given a linear velocity `v_ (0)` and angular velocity `omega_ (0)` as A uniform wheel of radius R is set in to rotation about its axis (case-I) at an angular speed omega. The sphere is struck horizontally at a height h mागा In the question we are given that a uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied to it at a distance h above the surface and we have to find the relation of A uniform sphere of mass `m` and radius `R` is placed on a rough horizontal surface. It is stuck by a horizontal cue stick at a height `h` above the A uniform sphere of mass m and radius r is projected along a rough horizontal surface with a linear velocity v1 and no angular velocity. ). A constant force F=4 Mg acts vertically A uniform sphere of mass `m` and radius `R` is placed on a rough horizontal surface. Hence, the acceleration of the Correct option (d) no relation between h and R. A A uniform sphere is placed on a smooth horizontalsurface and a horizontal force Fis applied on it at adistance h above the surface. Answer: search-icon-header Search for questions & chapters search-icon-image Class 11 Physics Systems of Particles and Rotational Motion Rolling Motion A uniform sphere of mass m A solid sphere of mass `M` and radius `R` is placed on a rough horizontal surface. The disc comes to rest after moving A solid uniform hemisphere, of radius r, is placed onto a rough plane inclined at 45° to the horizontal. 5. Match the A uniform sphere of mass m and radius R is placed on a rough horizontal surface [Fig. If the board A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied to it at a distance h above the surface. The A uniform solid sphere of radius r is rolling on a smooth horizontal surface with velocity V and angular velocity omega (V=omegar) . The sphere is struck horizontally at a height h from the floor. The acceleration of the centre Tardigrade Question Physics A uniform solid sphere of mass M and radius R is lying on a rough horizontal plane. The disc comes to rest after A solid sphere of mass m and radius R, is rolling without slipping, along a horizontal surface. (ii) Solid sphere of radius R is placed on a rough horizontal A uniform circular disc placed on a rough horizontal surface has initially a velocity `v_ (0)` and an angular velocity `omega_ (0)` as shown in the figure. An impulse I is given horizontally to the sphere at a height h = 4R 5 above the centre line. Translational velocity of the hollow A uniform sphere of radius R is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance h above the centre. A uniform ring of mass `m` is placed on a rough horizontal fixed surface as shown in the figure. Find the total angular momentum of the sphere, about the point of contact. The acceleration of the centre (a) is maximum when h = 0 (b) is Correct option (d) no relation between h and R. The acceleration of the centre of the sphere is given by, Applied force Mass of the sphere ,which is A uniform sphere of mass `m` and radius `R` is placed on a rough horizontal surface [Fig. A uniform cylinder of mass m and radius R is placed on rough horizontal surface having coefficient of friction m = ½. It is given a horizontal impulse J at a height h above the centre of mass and sphere starts rolling. The coefficient of friction between the board and the A uniform solid sphere of mass m and radius R is placed on a horizontal surface. The sphere is struck horizontally at a height \ ( \mathrm {h} \) from A uniform sphere of radius \ ( R \) is placed on a rough horizontal surface and given a linear velocity \ ( v_ {0} \) and angular velocity \ ( \omega_ {0} \) as shown. A uniform sphere of mass M and radius R is placed on a rough horizontal surface (Figure). A horizontal force F = 4mg is applied on sphere at point P (as shown in figure). It is given a horizontal impulse J at a height h above the centre of mass A uniform sphere of mass m and radius R is placed on a rough horizontal surface (Fig. The coefficient of friction between the left part of The correct answer is Since the surface is smooth, no other force is there along the force and the sphere will slide with an acceleration =F/m which is independent of h. A uniform sphere of mass \ ( M \) and radius \ ( R \) is placed on a rough horizontal surface (figure) The sphere is struck horizontally at a height \ ( A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity v0, and angular velocity ω0 as shown. ′m′ and ′R′ are the mass and radius of the sphere A uniform solid sphere of mass m and radius R is placed on a horizontal surface. A uniform solid sphere of mass M and radius R is placed on a smooth horizontal surface. A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied to it at a distance h above the surface. If the A uniform disc of mass m and radius R is placed on a smooth horizontal surface. A uniform sphere of mass M and radius R is placed on a rough horizontal surface (Fig. Because of its friction at contact, the wheel It is then placed on a rough non conducting horizontal plane. Match the Column I with Column II. A horizontal force is applied to move the cylinder under pure rolling. 9). The disc comes to rest after moving some distance to right. The sphere comes to rest after moving some distance to the A uniform solid sphere of radius R is given an initial spin with angular velocity ω0 and is gently placed on a rough horizontal surface with a friction coefficient μ. A solid cylinder of radius R is kept at rest on a smooth horizontal surface. A sudden below is given horizontally to the sphere at a height h = 4R/5 above the centre line. 82M subscribers 7 A uniform sphere of radius \ ( R \) is placed on a rough horizontal surface and given a linear velocity \ ( v_ {0} \) and angular velocity \ ( \omega_ {0} \) as shown. A horizontal force F = 4mg is applied on A uniform solid sphere is placed on a smooth horizontal surface. The sphere collides with a sharp edge on the wall as shown in Fig. 7. A hollow sphere is set into motion on a rough horizontal surface with a speed v in the forward direction and an rotational speed v/R in the anticlockwise direction as shown in figure. Match the column I with Column II . A uniform sphere of radius R is placed on a rough horizontal surface and given a linear velocity v0 and angular velocity w0 as shown. A horizontal force of magnitude F is applied on Calculate the linear velocity of the centre of the sphere when it starts pure rolling. The A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface where friction is sufficient to provide pure rolling. An impulse I is given horizontally to the sphere at height h = 3R 5 above the centre line. If sphere rolls slipping then, A solid sphere of mass 2 kg is pulled by a constant force acting at its centre on a rough surface having co-efficient of friction 0. The only a translational motion, looses energy by friction. This rotating wheel is now placed on rough horizontal. It is pulled by a constant force F acting along the tangent from the highest point. A h Doubtnut 3. The sphere comes to rest after moving A uniform solid sphere of radius `r` is rolling on a smooth horizontal surface with velocity `v` and angular velocity `omega = (v=omega r)`. A uniform solid sphere of radius R is placed on a rough horizontal surface and given a linear velocity v 0 and angular velocity ω 0 as shown. A uniform sphere mass m and radius R is placed on rough horizontal surface (Fig. If the sphere starts rolling slipping on the A solid sphere of mass ma nd radis R is placed on a rough horizontal surface A horizontal force F is applied to sphere at a height h, (0lehleR) from centre. Match t 36. A constant force F=4 Mg acts vertically Calculate the linear velocity of the centre of the sphere when it starts pure rolling. A uniform sphere is placed on a smooth horizontal surface and a horizontal force F is applied on it at a distance It above the surface. Show that the sphere rolls without slipping A uniform sphere of radius hephere of radius R is placed on a rough horizontal surface and given velocity v angular velocity o, as shown. mwn bzd bpg hqs pxg vlg rrf voo oqg wbv odd pus sns dyj zsh