1. A simple pendulum is found to vibrate 50 times within 200s. When 1.5m of its length is reduced to a certain length, it vibrates 50 times in 175s. Find the original length of the pendulum.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.13P
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Activity 3.7: Problems involving Simple and Physical Pendulum
Direction: Solve the following problems. Show your complete solutions
legibly and concisely in a separate sheet of paper.
1. A simple pendulum is found to vibrate 50 times within 200s. When 1.5m of its
length is reduced to a certain length, it vibrates 50 times in 175s. Find the original
length of the pendulum.
2. A Christmas ball in a shape of a hollow sphere is hung from the tree by a
piece of thread attached to the surface of the ball. The mass and radius of
the ball are 0.105kg and 0.12m, respectively. What will be its period of
oscillation when slightly displaced from its equilibrium position?
(Hint: /=mr²)
Transcribed Image Text:Activity 3.7: Problems involving Simple and Physical Pendulum Direction: Solve the following problems. Show your complete solutions legibly and concisely in a separate sheet of paper. 1. A simple pendulum is found to vibrate 50 times within 200s. When 1.5m of its length is reduced to a certain length, it vibrates 50 times in 175s. Find the original length of the pendulum. 2. A Christmas ball in a shape of a hollow sphere is hung from the tree by a piece of thread attached to the surface of the ball. The mass and radius of the ball are 0.105kg and 0.12m, respectively. What will be its period of oscillation when slightly displaced from its equilibrium position? (Hint: /=mr²)
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