A small body tied to a string is revolved in a vertical circle of radi

1.	A small body tied to a string is revolved in a vertical circle of radius 0.8m such that its speed at the top of the circle is 4 m/s.Find the maximum speed of the body during the motion.
Answer» Answer: 6.88 m/s Explanation: Maximum velocity is at the point where PE = 0, at the bottom. Let the mass of the body be m. At the highest point: height = 2r = 2(0.8) = 1.6 ; u(velocity) = 4 m/s Total energy = KE + PE = mgh + 1/2 mu² = m(9.81.6 + 1/2 (4)² ) = (23.68)m At the lowest point: Total energy = mg(0) + 1/2 mv² (23.68)m = 0 + 1/2 m v² 23.68 = 1/2 v² 47.36 = v² 6.88 m/s = v SINCE velocity at the bottom is maximum, maximum velocity is 6.88 m/s*

A small body tied to a string is revolved in a vertical circle of radius 0.8m such that its speed at the top of the circle is 4 m/s.Find the maximum speed of the body during the motion.

Answer»

Answer:

6.88 m/s

Explanation: Maximum velocity is at the point where PE = 0, at the bottom.

Let the mass of the body be m.

At the highest point:

height = 2r = 2(0.8) = 1.6 ; u(velocity) = 4 m/s

Total energy = KE + PE

= mgh + 1/2 mu²

= m(9.8*1.6 + 1/2 (4)² )

= (23.68)m

At the lowest point:

Total energy = mg(0) + 1/2 mv²

(23.68)m = 0 + 1/2 m v²

23.68 = 1/2 v²

47.36 = v²

6.88 m/s = v

SINCE velocity at the bottom is maximum, maximum velocity is 6.88 m/s

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A small body tied to a string is revolved in a vertical circle of radius 0.8m such that its speed at the top of the circle is 4 m/s.Find the maximum speed of the body during the motion.​

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A small body tied to a string is revolved in a vertical circle of radius 0.8m such that its speed at the top of the circle is 4 m/s.Find the maximum speed of the body during the motion.