JEE MAIN - Physics (2022 - 29th June Evening Shift - No. 13)

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.

The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g = 10 ms$$-$$2.)

JEE Main 2022 (Online) 29th June Evening Shift Physics - Laws of Motion Question 66 English

1 ms$$-$$2
1/5 ms$$-$$2
4/5 ms$$-$$2
8/11 ms$$-$$2

Explanation

JEE Main 2022 (Online) 29th June Evening Shift Physics - Laws of Motion Question 66 English Explanation

$${f_{{r_{\max }}}} = \mu N$$

$$ = 0.02 \times 400$$

= 8 N

Let the acceleration is a as shown then.

$$40 - T = 4a$$

$$T - 8 = 40a$$

$$ \Rightarrow a = {{32} \over {44}} = {8 \over {11}}$$ m/s2

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