Question 5 The figure below shows a ballistic pendulum, which is used to measure the velocity of high-speed projectiles. A bullet of mass 20 grams and velocity vo is fired into a 5 kg wooden block B hanging off a massless string of length /=2m. The block then swings to a maximum angular displacement of ee = 10°, B Va (a) Determine the velocity of the bullet vo. (b) What percentage of the energy was dissipated after the impact? (c) What is the natural frequency of this pendulum in hertz? (d) If the fundamental resonant frequency is 5% less than the natural frequency, what is the damping ratio 35? Is this system over-damped, under-damped or critically damped? (e) If the pendulum was to be driven into its fundamental resonance outlined in part (d), what is the phase angle in this scenario?
Question 5 The figure below shows a ballistic pendulum, which is used to measure the velocity of high-speed projectiles. A bullet of mass 20 grams and velocity vo is fired into a 5 kg wooden block B hanging off a massless string of length /=2m. The block then swings to a maximum angular displacement of ee = 10°, B Va (a) Determine the velocity of the bullet vo. (b) What percentage of the energy was dissipated after the impact? (c) What is the natural frequency of this pendulum in hertz? (d) If the fundamental resonant frequency is 5% less than the natural frequency, what is the damping ratio 35? Is this system over-damped, under-damped or critically damped? (e) If the pendulum was to be driven into its fundamental resonance outlined in part (d), what is the phase angle in this scenario?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Question 5
The figure below shows a ballistic pendulum, which is used to measure the velocity of
high-speed projectiles. A bullet of mass 20 grams and velocity vo is fired into a 5 kg
wooden block B hanging off a massless string of length /= 2 m. The block then swings
to a maximum angular displacement of ee = 10°.
B.
Vo
(a) Determine the velocity of the bullet vo.
(b) What percentage of the energy was dissipated after the impact?
(c) What is the natural frequency of this pendulum in hertz?
(d) If the fundamental resonant frequency is 5% less than the natural frequency,
what is the damping ratio 55? Is this system over-damped, under-damped or
critically damped?
(e) If the pendulum was to be driven into its fundamental resonance outlined in
part (d), what is the phase angle o in this scenario?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c2d61d5-4cc4-4f4e-beff-1e78188230eb%2F6341f070-aafb-4ce5-9b41-c33abf044c2e%2Fk0cm1j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
The figure below shows a ballistic pendulum, which is used to measure the velocity of
high-speed projectiles. A bullet of mass 20 grams and velocity vo is fired into a 5 kg
wooden block B hanging off a massless string of length /= 2 m. The block then swings
to a maximum angular displacement of ee = 10°.
B.
Vo
(a) Determine the velocity of the bullet vo.
(b) What percentage of the energy was dissipated after the impact?
(c) What is the natural frequency of this pendulum in hertz?
(d) If the fundamental resonant frequency is 5% less than the natural frequency,
what is the damping ratio 55? Is this system over-damped, under-damped or
critically damped?
(e) If the pendulum was to be driven into its fundamental resonance outlined in
part (d), what is the phase angle o in this scenario?
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