The end of the rope A, which is behind and below the box G, is pulled to lift th

Question

The end of the rope A, which is behind and below the box G, is pulled to lift the box.  The box is to be lifted with constant acceleration, a0, so that it rises 2 ft. in 4.3 seconds.  If the box is initially at rest, find a0.  Neglect any deviation of the ropes from vertical.

Answers: Sa(doubledot)= 0.937  ft/s2 downward

The end of the rope A, which is behind and below the box G, is pulled to lift the box. The box is to be lifted with constant acceleration, a0, so that it rises 2 ft. in 4.3 seconds. If the box is initially at rest, find a0. Neglect any deviation of the ropes from vertical.

Explanation / Answer

When the load rises by 2 ft the length of the rope pulled = 8 ft as there are 4 parts attached to the block;

so by the equation of motion

S = ut + 0.5 a t^2;

here u =0;

8 = 0.5 * a0 * 4.3 ^2;

ao = 0.930 ft/s^2

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