Problem 5: Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. L Randomized Variables L= 2.6 m M Part (a) How does the period of the left pendulum change if the mass is doubled? Choose the best answer. MultipleChoice : 1) The period is increased by a factor of v2. 2) The period remains unchanged. 3) The period is doubled. 4) The period is decreased by a factor of v2. Part (b) Find the period T of the left pendulum for small displacements in s. Numeric : A numeric value is expected and not an expression. T = Part (c) Find the period T of the right pendulum for small displacements in s. Numeric : A numeric value is expected and not an expression. T=

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.22P
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Problem 5: Two pendula are shown in the figure. Each consists of a solid ball with
uniform density and has a mass M. They are each suspended from the ceiling with
massless rod as shown in the figure. The ball on the left pendulum is very small. The
ball of the right pendulum has radius 1/2 L.
Randomized Variables
L = 2.6 m
M
Part (a) How does the period of the left pendulum change if the mass is doubled? Choose the best answer.
MultipleChoice :
1) The period is increased by a factor of v2.
2) The period remains unchanged.
3) The period is doubled.
4) The period is decreased by a factor of v2.
Part (b) Find the period T of the left pendulum for small displacements in s.
Numeric : A numeric value is expected and not an expression.
T=
Part (c) Find the period T of the right pendulum for small displacements in s.
Numeric : A numeric value is expected and not an expression.
T =
Transcribed Image Text:Problem 5: Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. Randomized Variables L = 2.6 m M Part (a) How does the period of the left pendulum change if the mass is doubled? Choose the best answer. MultipleChoice : 1) The period is increased by a factor of v2. 2) The period remains unchanged. 3) The period is doubled. 4) The period is decreased by a factor of v2. Part (b) Find the period T of the left pendulum for small displacements in s. Numeric : A numeric value is expected and not an expression. T= Part (c) Find the period T of the right pendulum for small displacements in s. Numeric : A numeric value is expected and not an expression. T =
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