Question

detailed explanation plsxxxxx​

Answer 1

Answer:

force and one is sliding downwards and to is going upwards because M1 is in the sliding position where as M2 is in the lifting position

Answer 2

Two masses m₁ and m₂ are connected by a string on an incline plane.

It is given that the mass m₂ just started moving downwards so it is clear that the mass m₁ will start moving upwards.

The tension in the string is equal to weight of the mass m₂, which is uniform through out the whole string.

Also, the mass m₂ starts moving with some acceleration say a, Then the net downward force on the mass m₂ will be :

⇒ F = m₂g - T

⇒ m₂ a = m₂g - T

⇒ m₂a = ( m₂g - T ) ...(1)

Now, In the case of mass m₁, The net upward force will be, Also there will be Frictional force opposing the motion, so

⇒ F = T - m₁gsinθ - μm₁gcosθ

We took the horizontal component of weight because the vertical component cancels out with the normal.

⇒ m₁a = T - m₁gsinθ - μm₁gcosθ ...(2)

Adding (1) & (2),

⇒ m₁a + m₂a = T - m₁gsinθ - μm₁gcosθ + m₂g - T

⇒ m₁a + m₁gsinθ + μm₁gcosθ = m₂g - m₂a

⇒ m₁ (gsinθ + μgcosθ + a) = m₂ (g - a)

Hence the relation between m₁ and m₂ is founded.