Physics please help????? plank problem?

A plank 4.6 m long and weighing 123 N has its left end resting on a block and the other end supported by a rope. The plank is in the horizontal position. If the greatest tension the rope can withstand is 422 N, how far from the block can a 63.4 kg girl walk out on the plank before the rope breaks?

Comments

  • let d be distance from the block

    taking moment about point of contact at the block

    422 * 4.6 = 123 * 2.3 + 63.4 * 9.81 * d

    anti clockwise moment = clockwise moment

    d= 2.666 m ---answer

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