In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1 m respectively and the acceleration of block A is 5 m/s2 in the downward direction, then the acceleration of block B will be:
Question
In the pulley system shown, if radii of the bigger and smaller pulley are 2 m and 1 m respectively and the acceleration of block A is 5 m/s2 in the downward direction, then the acceleration of block B will be:
Solution
The question seems to be incomplete as there is no pulley system shown. However, based on the information given, we can infer that this is a two-pulley system with different radii.
In a pulley system, the acceleration of the blocks is related to the radii of the pulleys. If the radius of the pulley attached to block A is twice the radius of the pulley attached to block B, then the acceleration of block B will be twice the acceleration of block A (assuming no friction or mass of the pulley).
Given that the acceleration of block A is 5 m/s², the acceleration of block B would be 2 * 5 m/s² = 10 m/s² in the upward direction (opposite to the direction of acceleration of block A).
Please note that the direction of acceleration is assumed based on typical pulley systems. The actual direction would depend on the specific setup of the pulley system.
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