Question

An object is tied to a string and rotated in a vertical circle of radius r. Constant speed is maintained
along the trajectory. If T max/Tmin= 2, then v? /rg is
(1) 1
(2) 2
(3) 3
(4) 4​

Answer 1

The value of v^2 / rg = 3

Explanation:

mv^2r = Th+mg

where Th is the highest point.

mv^2r = Tλ−mg

Where Tλ is the lowest point .

But , Tmax / Tmin = Tλ / Th = 2

Tλ = 2Th

Th + mg = 2Th − mg

⇒Th=2mg

Hence mv^2r = Th + mg = 3 mg

So , v^2 / rg = 3

Thus the value of v^2 / rg = 3

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An object of mass 100 kg is accelerated uniformly with the velocity of 5 metre per second to 8 metre per second in 6 seconds. Calculate the initial and the final momentum of the object and find the magnitude of force exerted on the object.​ ?

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