read the lalb instructions for this wwek tlsis g to lab. Your Tab instruetor wil

Question

read the lalb instructions for this wwek tlsis g to lab. Your Tab instruetor will collert this at the skat of s Cousider the magnitude of the tension, T, in the string during the accel- cration. Which of the following is/are true? (Circle any true statements.) block of mass Consider a friction, like a glider on an air-track. This bhox k b string ner a pilkey to another mnss m thangcing over the edue of the tal.de T = mg T> mg T = Ma Find the acceleration of M from the graph. Show your work. If the block M is initially at rest but not held in place it will O always remain at rest always begin to move at constant velocity. O move at constant velocity only if m>M O accelerate only if m>M O accelerate, even if m

Explanation / Answer

There is only horizontal force on mass M which is T, the tension in the string. On Mass m, there is gravitational pull mg downwards and tension T acting upwards.

Whatever be the mass of m, there will always be tension T acting on M producing acceleration.

Ans: accelerate, even if m<M

As tension produces accelearion in mass M, so T = Ma. Also mass m moves downwards. So T<mg

Ans: T<mg and T = Ma

From the graph we see that at time 1 s the velocity is 10 m/s. So the acceleration is 10 m/s2.

ma = T - mg. If acceleration is same as that of the graph, then a = 10, g = 10 and we get 10m = T - 10m which gives T = 20m.

Now, Ma = T which gives 10M = 20m or m = (1/2)M. So for M = 200g ,m = 100g

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