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Mechanics

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10 Apr 2008 13:23:28 IST

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Frictionless surface

None

A thin uniform rod is initially positioned in the vertical direction, with its lower end attached to a frictionless axis that is mounted on the floor. The rod has a length of 2.00 m and is allowed to fall, starting from rest. Find the tangential speed of the free end of the rod, just before the rod hits the floor after rotating through 90 degree.

a. 3.59 m/s

b. 4.26 m/s

c. 5.89 m/s

d. 7.67 m/s

e. 6.83 m/s

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Comments (2)

ashish banga

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Joined: 16 Dec 2006

Posts: 1362

10 Apr 2008 13:28:53 IST

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7.67

ashish banga

Blazing goIITian

Joined: 16 Dec 2006

Posts: 1362

10 Apr 2008 13:29:34 IST

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use conservation of energy
mg(l/2) = 1/2 I w^2
find w
then velocity of free end = l w

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