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Question: A rigid cord and an elastic cord support two small spheres of same mass M. These are deflected from ...

A rigid cord and an elastic cord support two small spheres of same mass M. These are deflected from the mean position through an angle of 900. When the spheres pass through the mean position the lengths of the two cords become same. If v1is the velocity of the sphere attached to rigid cord and v2is the velocity of the other sphere, then

A

v1= v2

B

v1is more than v2

C

v1 < v2

D

v1 = v2 = 0

Answer

v1is more than v2

Explanation

Solution

For rigid cord,

mgl = 12\frac{1}{2} mv12 ….. (i)

Equating (i) and (ii)

12\frac{1}{2}mv12 = 12\frac{1}{2}mv22 + 12\frac{1}{2}k(δl)2

Clearly v1 > v2`