A horizontal frictionless plane has a pulley at its edge. A7.0-kgblock on the pl

Question

A horizontal frictionless plane has a pulley at its edge. A7.0-kgblock on the plane is connected to a freely hanging block by meansof a cord passing over the pulley. When released, the freelyhanging block accelerated at a rate of 2.0 m/s2. Find its mass andthe tension in the cable.

A horizontal frictionless plane has a pulley at its edge. A7.0-kgblock on the plane is connected to a freely hanging block by meansof a cord passing over the pulley. When released, the freelyhanging block accelerated at a rate of 2.0 m/s2. Find its mass andthe tension in the cable.

Explanation / Answer

Use Newton's Law. f=ma For the block in top of the plane. fy= n-mg = 0 fx= T=ma (because it's frictionless) Now for the hanging block there is only forces on the y direction,therefore: fy= T-mg=ma. To find the tension, cancel the masses out and then you willhave: T-g = a Since the cord is attach to both of the blocks, the tension will bethe same therefore: T-9.8=2 T = 11.8 Then substitute and solve for m Hope it helps :)

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