Home
Class 12
PHYSICS
A disc of mass m and radius R is placed ...

A disc of mass m and radius R is placed over a plank of same mass m. There is sufficient friction between disc and plank to prevent slipping. A force F is applied at the centre of the disc.

Force of friction between the disc and the plank is

A

`F/2`

B

`F/4`

C

`F/3`

D

`(2F)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
`F-f= ma_(1)`………..(1)
`f=ma_(2)`……..(2)
`alpha = tau/I = (fR)/(1/2mR^(2)) = (2f)/(mR)`……….(3)
`a_(1)-Ralpha = a_(2)`…………(4)
Solving these four equations, we get `a_(1) = (3F)/(4m), a_(2) = F/(4m), f=F/4, alpha = F/(2mR)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A disc of mass m and radius R is placed over a plank of same mass m. There is sufficient friction between disc and plank to prevent slipping. A force F is applied at the centre of the disc. Acceleration of the plank is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Angular acceleration of sphere is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Acceleration of centre of mass of sphere is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. When a horizontal force F is applied at centre of sphere, acceleration of the plank is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Force of friction between sphere and plank is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. A Horizontal force F is applied on the plank. What is the maximum value of F , if mu is coefficient of friction between sphere movment and plank and there is no slipping ?

Consider the system shown. A solide sphere (of mass m and radius R) is placed over a plak (of mass 2m and placed over a smooth horizontal surface.) A horizontal force F is applied at the top of the sphere, as shown. Consider that the friction between the sphere and plank is sufficient enough for no slipping of the sphere over then plank. Friction force acting between the sphere and the plank is

A force F is applied at the centre of a disc of mass M. The minimum value of coefficient of friction of the surface for rolling is

A uniform disc of mass m and radius R is free to rotate about its fixed horizontal axis without friction. There is sufficient friction between the inextensible light string and disc to prevent slipping of string over disc. At the shown instant extension in light spring is (3 mg)/K , where m is mass of block, g is acceleration due to gravity and K is spring constant. Then select the correct alternative(s).