Home
Class 11
PHYSICS
A boy is pushng a ring of mass 2kg and r...

A boy is pushng a ring of mass 2kg and radius 0.5 m with a stick as shwon in figure. The stick applies a force of 2N on the ring and rolls it without slipping with an accelertaion of `0.3 m/s^2.` The coefficinet of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring of (P/10). The value of P is

A

`3`

B

`4`

C

`5`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
B
Refer to Fig.
`2 - f_(s) = Ma`
or `f_(s) = 2 - Ma = 2 - 2 xx 0.3 = 1.4 N`

Taking torque about `C`, we have
`f_(s)R - f_(k)R = I alpha == MR^(2) xx (1)/(R ) Mra`
or `1.4 xx 0.5 - f_(k) xx 0.5 = 2 xx 0.5 xx 0.3`
or `f_(k) = 1.4 - 0.6 = 0.8 N`
If `mu` is the coefficient of kinetic friction, then
`f_(k) = mu xx2 or mu = (f_(k))/(2) = (0.8)/(2) = 0.4 = (4)/(10)`
As per question, `(P)/(10) = (4)/(10) or P = 4`
Promotional Banner

Similar Questions

Explore conceptually related problems

A boy is pushing a ring of mass 2kg and radius 0.5 m with a stick as shown in figure. The stick applies a force of 2N on the ring and rolls it without slipping with an acceleration of 0.3 m/s^2. The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring of (P/10). The value of P is

A boy is pulshing a ring of mass 3 kg and radius 0.6 m with a stick as shown in figure. The stick applies a force of 3N on the ring and rolls it without slipping with an acceleration of 0.4 m//s^(2) The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficeient of friction between the stick and the ring is (f)/(10) The vlaue of F is

A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 m/s. The total kinetic energy of disc is

A uniform thin ring of mass 0.4kg rolls without slipping on a horizontal surface with a linear velocity of 10 cm/s. The kinetic energy of the ring is

A uniform solid cylinder having mass M and radius R is pulled by a horiozntal force F acting through the center as shown. The cylinder rolls to the right without slipping. What is the magnitude of the force of friction between the cylinder and the ground?

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 drum of radius R and mass M rolls down without slipping along an inclined plane of angle theta . The frictional force

A ring of mass M is kept on w horizontal rough surface . A force F is applied tangentially at its rim as shown . The coefficient of friction between the ring and surface is mu Then

A body of mass 2 kg at rest on a horizontal table. The coefficient of friction between the body and the table is 0.3 . A force of 5N is applied on the body. The force of friction is