KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Physics: Questions 1 of 268

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» Laws of Motion » Laws of Friction

Appeared in Year: 2010

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Question

A pen of mass ‘m’ is laying on a piece of paper of mass M placed on a rough table. If the coefficient of friction between the pen and paper, and, the paper and table are μ1 and μ2, respectively, then the minimum horizontal force with which the paper has to be pulled for the pen to start slipping is given by-

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Topic iScore

Ques. Time

Answer

c.

Explanation

Given condition is roughly drown as below,

A pen and a paper placed on a rough table

A Pen and a Paper Placed on a Rough Table

In figure a simple diagram shows a pen of mass ‘m’ is laying on a piece of paper of mass ‘M’ placed on a rough table. The coefficient of friction between the pen and paper, and, the paper and the table are (mu) 1 and (mu) 2 respectively.

Free- body diagram (F. B. D) of pen is drawn as,

 body diagram of pen

Body Diagram of Pen

In figure free body diagram of pen of mass ‘m’ is shown. Forces acting on pen are shown in it.

Here, for pen,

Equation

Frictional force acting on the pen is given as,

Equation

Now, Free- body diagram (F. B. D) of paper is,

body diagram of paper

Body Diagram of Paper

In figure free body diagram of paper of mass ‘M’ is shown. Forces acting on paper are shown in it.

As figure shows,

Equation

Also,

Equation

Equation

Equation

Equation

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