You use a rope 2.00 m long to swing a 10 kg weight around your head. The tension in the rope is 20 N. In half a revolution how m
1 answer:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The tension is
b
The time taken is
c
The position for maximum velocity is
S = 0
d
The maximum velocity is
Explanation:
The free body for this question is shown on the second uploaded image
From the question we are told that
The mass of the bob is
The angle is
The length of the string is
The tension on the string is mathematically represented as
substituting values
The motion of the bob is mathematically represented as
=>
Where is the angular speed
and is the phase change
At initial position S = 0
So
Generally can be mathematically represented as
Where T is the period of oscillation which i mathematically represented as
So
substituting values
Looking at the equation
We see that maximum velocity of the bob will be at S = 0
i. e
The maximum velocity is mathematically represented as
Where A is the amplitude which is mathematically represented as
So
Recall
substituting values
