An object of mass m1m1 undergoes constant circular motion and is connected by a

Question

An object of mass m1m1 undergoes constant circular motion and is connected by a massless string through a hole in a frictionless table to a larger object of mass m2m2 (see the figure below). Assume that the objects have masses of 0.225 and 0.115 kg and the radius RR of the circular path of the smaller object is equal to 1.00 m.

a)If the larger object is stationary, calculate the tension in the string. (Express your answer to three significant figures.)

b)If the larger object is stationary, calculate the speed of the circular motion of the smaller object. (Express your answer to three significant figures.)

Explanation / Answer

The tension in the string comes from the hanging mass. The spinning mass provides

support against m2 falling any further down, but that's simply the origin of the tension.

(a)

Tension(T) = m2g

T = 0.225kg*9.81m/s²

T = 2.20725 N

T = 2.20 N

(b)

The tension is equal to the centripetal force.

T = m1v²/r

v2 = (2.20725 N*1m)/0.115 kg

v = 4.38 m/s

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