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A bob of mass 1 kg is suspended from an inextensible string of length 1 m. When the string makes an angle with vertical, speed of the bob is 4 m/s
Upto what maximum height will the bob rise with respect to the bottommost point ?a. 1.6 m
b. 1.8 m
c. 1.3 m
d. 2 m
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Text solutionVerified
Sure, here are step-by-step solutions with LaTeX tags:
1. Identify the problem:
2. Combine the equations:
Add the two equations to eliminate :
Simplify:
3. Solve for :
Multiply both sides by :
Simplify:
Multiply both sides by :
Simplify:
Divide both sides by :
Simplify:
4. Solve for :
Substitute into either of the original equations:
Substitute:
Simplify:
Subtract from both sides:
Simplify:
Multiply both sides by :
Simplify:
5. Check the solution:
Substitute and into the original equations:
Simplify:
Simplify:
The solution checks out, so and .
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Question Text | A bob of mass 1 kg is suspended from an inextensible string of length 1 m. When the string makes an angle with vertical, speed of the bob is 4 m/s Upto what maximum height will the bob rise with respect to the bottommost point ?a. 1.6 m b. 1.8 m c. 1.3 m d. 2 m |
Topic | Circular and Rotation Motion |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |