A simple pendulum of length L and mass M gas frequency f, to increase it's frequency to 2f?

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Author:Raymond A. Serway, John W. Jewett
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Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 15.44P: A small object is attached to the end of a string to form a simple pendulum. The period of its...
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A simple pendulum of length L and mass M gas frequency f, to increase it's frequency to 2f?
6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the
string makes -8° with the vertical and is then released from rest. If the angular displacement 0(t) is
written as a cosine function, then the phase constant p is:
(a)-R/2
(b)0
(c) +/2
(d)
7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the
equilibrium position and is then given an initial speed of 0.6 m/s. What are the values of the maximum
speed and maximum height reached by the bob? (Take g 9.8 m/s*)
(a) hmax = 1.87 cm; Vmax = 3.44 m/s
(b)h,max = 2.89 cm; v = 0.75 m/s
(c) hmax
= 1.87 cm; vmax = 0.75 m/s
(d)hmax = 2.89 cm; Vmax = 3.44 m/s
8) A simple pendulum of length L and mass M has frequency f. To increase its frequency to 2f:
(a) decrease its length to L/4
(b) decrease its length to L/2
(c) increase its length to 2L
(d)increase its length to 4L
9) A simple pendulum of length L is set to oscillate in simple harmonic motion. When its potential energy
is one-half its total mechanical energy, U =E/2, then which of the following is true about its velocity:
(a) v= tmax/2
(b)v=tVmax/4
() v = tmaxV2/2
(d)v =
%3D
tmaxV3/2
A simple pendulum of length L is set to oscillate in simple harmonic motion. The bob gravitational
potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h =
10)
Transcribed Image Text:6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the string makes -8° with the vertical and is then released from rest. If the angular displacement 0(t) is written as a cosine function, then the phase constant p is: (a)-R/2 (b)0 (c) +/2 (d) 7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the equilibrium position and is then given an initial speed of 0.6 m/s. What are the values of the maximum speed and maximum height reached by the bob? (Take g 9.8 m/s*) (a) hmax = 1.87 cm; Vmax = 3.44 m/s (b)h,max = 2.89 cm; v = 0.75 m/s (c) hmax = 1.87 cm; vmax = 0.75 m/s (d)hmax = 2.89 cm; Vmax = 3.44 m/s 8) A simple pendulum of length L and mass M has frequency f. To increase its frequency to 2f: (a) decrease its length to L/4 (b) decrease its length to L/2 (c) increase its length to 2L (d)increase its length to 4L 9) A simple pendulum of length L is set to oscillate in simple harmonic motion. When its potential energy is one-half its total mechanical energy, U =E/2, then which of the following is true about its velocity: (a) v= tmax/2 (b)v=tVmax/4 () v = tmaxV2/2 (d)v = %3D tmaxV3/2 A simple pendulum of length L is set to oscillate in simple harmonic motion. The bob gravitational potential energy is zero at its lowest vertical point. When the bob's height is at half its maximum, h = 10)
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