Question

5. A sphere of mass m and radius R is placed at rest on a plank of mass M which is placed on a smooth horizontal surface as shown in the figure. The coefficient of friction between the sphere and the plank is ?. At t = 0, horizontal velocity v0 is given to the plank. Find the time after which, the sphere starts pure rolling. The plank is long enough. (a) 2Mv0 / (7M + 2m)?g (b) Mv0 / (7M + 2m)?g (c) 2Mv0 / (5M + 2m)?g (d) Mv0 / (5M + 2m)?g

Name: 5. A sphere of mass m and radius R is placed at rest on a plank of mass M which is placed on a smooth horizontal surface as shown in the figure. The coefficient of friction between the sphere and the plank is ?. At t = 0, horizontal velocity v0 is given to the plank. Find the time after which, the sphere starts pure rolling. The plank is long enough. (a) 2Mv0 / (7M + 2m)?g (b) Mv0 / (7M + 2m)?g (c) 2Mv0 / (5M + 2m)?g (d) Mv0 / (5M + 2m)?g
Uploaded: 2023-01-11T08:40:01-08:00
Duration: 1 min 22 s
Channel: Sri K

          5. A sphere of mass m and radius R is placed at rest on a plank of mass M which is placed on a smooth horizontal surface as shown in the figure. The coefficient of friction between the sphere and the plank is ?. At t = 0, horizontal velocity v0 is given to the plank. Find the time after which, the sphere starts pure rolling. The plank is long enough. (a) 2Mv0 / (7M + 2m)?g (b) Mv0 / (7M + 2m)?g (c) 2Mv0 / (5M + 2m)?g (d) Mv0 / (5M + 2m)?g

5. A sphere of mass m and radius R is placed at rest on a plank of mass M which is placed on a smooth horizontal surface as shown in the figure. The coefficient of friction between the sphere and the plank is ?. At t = 0, horizontal velocity v0 is given to the plank. Find the time after which, the sphere starts pure rolling. The plank is long enough. (a) 2Mv0 / (7M + 2m)?g (b) Mv0 / (7M + 2m)?g (c) 2Mv0 / (5M + 2m)?g (d) Mv0 / (5M + 2m)?g

Added by Alexander C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

01/11/2023

Step 1

Take rightward as positive. Plank (mass M) initially v_p(0)=V0 to the right. Sphere (mass m, radius R) initially v_s(0)=0 and ω(0)=0. The bottom surface of the plank moves right relative to the sphere, so kinetic friction acts until pure rolling is achieved. Show more…

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5. A sphere of mass m and radius R is placed at rest on a plank of mass M which is placed on a smooth horizontal surface as shown in the figure. The coefficient of friction between the sphere and the plank is μ. At t = 0, horizontal velocity v0 is given to the plank. Find the time after which, the sphere starts pure rolling. The plank is long enough. (a) 2Mv0 / (7M + 2m)μg (b) Mv0 / (7M + 2m)μg (c) 2Mv0 / (5M + 2m)μg (d) Mv0 / (5M + 2m)μg