Question

A coin of mass 10g is placed over a book of length 50 cm.
The coin is on the verge of sliding when one end of the
book is lifted 10 cm up. The coefficient of static friction
between the book and the coin is
[JIPMER 2002; MP PET 2010]
(a) 1.0
(b) 0.4
(c) 0.3
(d) 0.2
​

Answer 1

Answer:

Explanation:

A coin of mass 10g is placed over a book of length 50 cm.

The coin is on the verge of sliding when one end of the

book is lifted 10 cm up. The coefficient of static friction

between the book and the coin is

[JIPMER 2002; MP PET 2010]

(a) 1.0

(b) 0.4

(c) 0.3

(d) 0.2

Answer 2

The coefficient of static friction is 0.2.

(d) is correct option

Explanation:

Given that,

Mass of coin =10 g

Length of book= 50 cm

Height = 10 cm

We need to calculate the coefficient of static friction

Using balance equation

$mg\sin\theta=\mu mg$

$\sin\theta=\mu$

Here, $\sin\theta=\dfrac{\text{length of book}}{height}$

Put the value into the formula

$\dfrac{10}{50}=\mu$

$\mu=0.2$

Hence, The coefficient of static friction is 0.2.

Learn more :

Topic : static friction

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