In Fig. 5.3, a body A of mass m slides on plane inclined at angle θ1 to the horizontal and μ1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a...

Question

In Fig. 5.3, a body A of mass m slides on plane inclined at angle θ₁ to the horizontal and μ₁ is the coefficient of friction between A and the plane. A is connected by a light string passing over a frictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle θ₂ to the horizontal. Which of the following statements are true?

Philoid · Accepted Answer

In question it is mention that plane below block A has μ co-efficient of friction also block B lying on frictionless surface.

Let’s consider two cases

Case 1: When A just start i.e.

Body A moves up and B down the plane

mg will cancel out

Or so option (b) is correct.

Case 2: When A moves upward and B downward

⇒

from this we can say option (a) is wrong and option (c) is correct.

Now if B moves upward and A downward then

⇒

So from here we can say that as θ₁ increases also increases but decreases also sum of θ₁ and θ₂ is 90° so θ₁> θ₂ and also right.

Hence from here body B can move up that means option (d) is wrong.