A small disc of mass $m$ slides down a smooth hill of height $h$ without initial velocity and gets onto a plank of mass $M$ lying on the horizontal plane at the base of the hill (as shown in above figure). Due to friction between the disc and the plank the disc slows down and, beginning with a certain moment, moves in one piece with the plank.
Then, statement:- the total work performed by the friction forces in this process does not depend on the choice of the reference frame.
state given statement is True or False.

True

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False

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Solution

The correct option is B False
yes, there will be an internal force on $m$ and $M$ which will be equal and opposite which will account for the movement of disc and plank together and it is independent of frame of reference.

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Similar questions

A small disc of mass

m

slides down a smooth hill of height

h

without initial velocity and gets onto a plank of mass

M

lying on the horizontal plane at the base of the hill (as shown in above figure). Due to friction between the disc and the plank the disc slows down and, beginning with a certain moment, moves in one piece with the plank.

Find the total work performed by the friction forces in this process. Given reduce mass of system

μ = \frac{m M}{m + M}

Q. A small solid cylinder of radius r and mass M slides down a smooth hill of height h from rest and gets onto the plank of mass M lying on the smooth horizontal plane at the base of the hill as shown in the figure. Due to friction between the cylinder and plank, the cylinder slows down and starts rolling without friction over the plank. While the cylinder is rolling (without sliding) over the plank, the velocity of the plank is

v_{p}

, the velocity of centre of mass of the cylinder is

v_{c}

and angular velocity of the cylinder is “

ω

”. The coefficient of friction between the cylinder and plank is

μ

, while gravity (g) is uniform in the space.
[Assume that height of the plank is negligible.]

The net work performed by friction M ground frame and in plank frame

A small solid cylinder of radius r and mass M slides down a smooth hill of height h from rest and gets onto the plank of mass M lying on the smooth horizontal plane at the base of the hill as shown in the figure. Due to friction between the cylinder and plank, the cylinder slows down and starts rolling without friction over the plank. While the cylinder is rolling (without sliding) over the plank, the velocity of the plank is $v_{p}$ , the velocity of centre of mass of the cylinder is $v_{c}$ and angular velocity of the cylinder is “ $ω$ ”. The coefficient of friction between the cylinder and plank is $μ$ , while gravity (g) is uniform in the space.
[Assume that height of the plank is negligible.]