Two masses are connected by a string which goes over an ideal pulley as shown in

Question

Two masses are connected by a string which goes over an ideal pulley as shown in Figure. Block A has a mass of 3kg and can slide along a rough plane inclined 30.0 degree to the horizontal. The coefficient of kinetic friction between block A and the plane is 0. 400. Block B has a mass of 2.77 kg. What is the acceleration of the blocks? What is the tension in the string? An 8.0-g bullet is shot into a 4.0-kg block, at rest on a frictionless horizontal surface (sec the figure). bullet remains lodged in the block. The block moves into an ideal massless spring and compresses it by. The spring constant of the spring is 2400 N/m.

Explanation / Answer

we first break the forces into their components along the inclined plane.
the frictional forces are acting downwards along the slope as the tension in wire pulls it upwards along the slope.
first we determine the tension in the string, T = [3.00*2.77*9.8*(1 + sin30°+µcos30°)]/(3.00+2.77)
on solving we get T = 26.06 N
now as 2.77 a = 2.77 g - T
a = g - T/2.77
a = 0.396 m/s^2 (2.77 kg mass is moving down the inclined plane)

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