Question

A child is swinging from a suspended rope 4.0 m long that will break if the tension equals twice the weight of the child. What is the greatest angle θi the rope can make with the vertical during a swing if the rope is not to break? If the angle slightly exceeds that found in part (a), what is the speed of the child when the rope breaks?

Name: a child is swinging from a suspended rope 40 m long that will break if the tension equals twice the weight of the child what is the greatest angle i the rope can make with the vertical durin 95374
Uploaded: 2022-04-18T04:52:15-08:00
Duration: 2 min 19 s
Channel: Khoobchandra Agrawal
Description: a child is swinging from a suspended rope 40 m long that will break if the tension equals twice the weight of the child what is the greatest angle i the rope can make with the vertical durin 95374

          A child is swinging from a suspended rope 4.0 m long that will
break if the tension equals twice the weight of the child.
What is the greatest angle θi the rope can make with the
vertical during a swing if the rope is not to break?
If the angle slightly exceeds that found in part (a), what is
the speed of the child when the rope breaks?

Added by Holly S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

04/18/2022

Step 1

Given: Length of the rope, L = 4.0 m Tension in the rope before breaking = 2 * weight of the child = 2 * Mg At the maximum angle, the tension in the rope will be equal to the sum of the weight of the child and the centripetal force required to keep the child Show more…

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A child is swinging from a suspended rope 4.0 m long that will break if the tension equals twice the weight of the child. What is the greatest angle θi the rope can make with the vertical during a swing if the rope is not to break? If the angle slightly exceeds that found in part (a), what is the speed of the child when the rope breaks?