First slide

Static friction

Question

A force of 100 N is applied on a block of mass 3 kg as shown in the figure. The coefficient of friction between the surface and the block is $μ = \frac{1}{\sqrt{3}}$ . The acceleration of block is

Moderate

A

zero
B

10 $m / s^{2}$ upwards
C

10 $m / s^{2}$ downward
D

none of these

Solution

Normal reaction on the block N = 100 cos $30^{0} = 50 \sqrt{3} N \Rightarrow f_{m a x} = μ N = 50 N V e r t i c a l c o m p o n e n t o f a p p l i e d f o r c e = 100 \sin 30^{0} N = 50 N S i n c e w e i g h t o f t h e b l o c k i s e q u a l t o f_{m a x}, n e t f o r c e o n t h e b l o c k i s z e r o .$

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