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A block of mass M is pulled with a rope on a frictionless surface If a force P is applied at the free end of the rope what will be the force exerted by the rope on the block if the mass of rope is m?
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∙ 14y ago
A block of mass M is pulled with a rope on a frictionless surface If a force P is applied at the free end of the rope what will be the force exerted by the rope on the block if the mass of rope is m?
Equation#1: Force = mass * acceleration
The force P pulls a total mass of (M + m) accelerating both masses at the same rate.
Equation #2: P = (M + m) * a
Equation #3: a = P ÷ (M + m)
At the point where the rope is attached to the block, the block of mass M feels a force making it accelerate at a rate of a = P ÷ (M + m).
The force required to make at block of mass M accelerate at a rate of a = P ÷ (M + m) can be determined by equation #4.
Equation #4: F of block = mass of block * [P ÷ (M + m)].
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∙ 14y ago
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