Question

1. A simple pendulum made of a string of length L tied to a ball with mass m swings so that at its lowest point, the speed of the ball is vb; the pendulum makes a maximum angle ?m with the vertical. What is the tension in the string when it is at the an angle ? < ?m with the vertical? L vb A) mg(2 - cos?) B) mg(2cos?m + 3cos?) C) mg(3cos? - 2cos?m) D) mgcos? E) mg(2cos?m - 3cos?)

          1. A simple pendulum made of a string of length L tied to a ball with mass m swings so that at its lowest point, the speed of the ball is vb; the pendulum makes a maximum angle ?m with the vertical. What is the tension in the string when it is at the an angle ? < ?m with the vertical?

L

vb

A) mg(2 - cos?)
B) mg(2cos?m + 3cos?)
C) mg(3cos? - 2cos?m)
D) mgcos?
E) mg(2cos?m - 3cos?)

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1. A simple pendulum made of a string of length L tied to a ball with mass m swings so that at its lowest point, the speed of the ball is vb; the pendulum makes a maximum angle ?m with the vertical. What is the tension in the string when it is at the an angle ? < ?m with the vertical?

L

vb

A) mg(2 - cos?)
B) mg(2cos?m + 3cos?)
C) mg(3cos? - 2cos?m)
D) mgcos?
E) mg(2cos?m - 3cos?)

Added by Nathan C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ravindra Yadav

12/18/2021

Step 1

As the pendulum swings up and reaches an angle θm with the vertical, its speed decreases, so its kinetic energy decreases. At the same time, its height above the lowest point increases, so its potential energy increases. The total energy of the pendulum (kinetic + Show more…

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A simple pendulum made of a string of length L tied to a ball with mass m swings so that at its lowest point, the speed of the ball is vb; the pendulum makes a maximum angle ̸m with the vertical. What is the tension in the string when it is at an angle θ < θm with the vertical? A) mg(2 - cosθ) B) mg(2cosθm + 3cosθ) C) mg(3cosθ - 2cosθm) D) mgcosθ E) mg(2cosθm - 3cosθ)

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