A block of mass 5.78 kg lies on a frictionless horizontal surface. The block is

Question

A block of mass 5.78 kg lies on a frictionless

horizontal surface. The block is connected by

a cord passing over a pulley to another block

of mass 4.72 kg which hangs in the air, as

shown on the following picture. Assume the

cord to be light (massless and weightless) and

unstretchable and the the pulley to have no

friction and no rotational inertia.

The acceleration of gravity is 9.8 m/s2 .

Calculate the acceleration of the first block.

Answer in units of m/s2

A block of mass 5.78 kg lies on a frictionless horizontal surface. The block is connected by a cord passing over a pulley to another block of mass 4.72 kg which hangs in the air, as shown on the following picture. Assume the cord to be light (massless and weightless) and unstretchable and the the pulley to have no friction and no rotational inertia. The acceleration of gravity is 9.8 m/s2 . Calculate the acceleration of the first block. Answer in units of m/s2

Explanation / Answer

=>By balancing the forces on two masses:-
=>4.72g - T = 4.72a ------------(i)
& T = 5.78a ------------------(ii)
By (i) + (ii) :-
=>4.72g =10.5a
=>a = (4.72 x 9.8)/10.5
=>a = 4.405 m/s^2

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