A pendulum consisting of a string of length L attached to a bob of mass m swings in a vertical plane.(a) When the string is at an angle θ to the vertical, calculate the tangential acceleration of the bob using ΣFt = mat. (Use any variable or symbol stated above along with the following as necessary: g and θ.) (solved)at = gsin(θ) (b) What is the torque exerted about the pivot point? (Use any variable or symbol stated above along with the following as necessary: g and θ.) (unsolved)

Question
Asked Nov 6, 2019

A pendulum consisting of a string of length L attached to a bob of mass m swings in a vertical plane.

(a) When the string is at an angle θ to the vertical, calculate the tangential acceleration of the bob using ΣFt = mat. (Use any variable or symbol stated above along with the following as necessary: g and θ.) (solved)
at = gsin(θ)
 
(b) What is the torque exerted about the pivot point? (Use any variable or symbol stated above along with the following as necessary: g and θ.) (unsolved)
 
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Expert Answer

Step 1

Given:

ΣΕ-ma .
α- sin()
...i)
.
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ΣΕ-ma . α- sin() ...i) .

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Step 2
'mgcos
mgsinA
mg
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'mgcos mgsinA mg

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Step 3

(a)

To calculate the tangential acceleration, we need the requirement of t...

EFmg sin e
Therefore from (i):
та %3 mg sin @
a = gsin e
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EFmg sin e Therefore from (i): та %3 mg sin @ a = gsin e

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