The system shown in the figure below consists of a light, inextensible cord, lig
ID: 2061108 • Letter: T
Question
The system shown in the figure below consists of a light, inextensible cord, light, frictionless pulleys, and blocks of equal mass. Notice that block B is attached to one of the pulleys. The system is initially held at rest so that the blocks are at the same height above the ground. The blocks are then released. Find the speed of block A at the moment the vertical separation of the blocks is 2.30 m.
The system shown in the figure below consists of a light, inextensible cord, light, frictionless pulleys, and blocks of equal mass. Notice that block B is attached to one of the pulleys. The system is initially held at rest so that the blocks are at the same height above the ground. The blocks are then released. Find the speed of block A at the moment the vertical separation of the blocks is 2.30 m.Explanation / Answer
If B moves certain distance x then A should move 2x distance acceleration of A aA=2*aB mg-T=m*aA 2T-mg=m*aB mg = 5m*aB aB = g/5 aA = 2g/5 = 3.92 total separation between them = 2.3 m A moved down a distance of 2.3 *2/3 = 1.53 m speed = sqrt(2*3.92*1.53) = 3.46 m/s
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