A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2d law EF = mā for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?
A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2d law EF = mā for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 50PQ
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Question
![3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The
pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0
from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular
Motion Experiment worksheet except that we are not going in a full circle.
a. Draw the free body diagram of forces acting on the pendulum
bob. Include a coordinate system on your diagram showing your
choice for the +x and +y directions.
b. Write out Newton's 2nd law EF = mã for each direction.
X:
y:
c. What is the tangential acceleration of the pendulum bob?
d. Determine the tension of the string.
e. What is the magnitude of the total acceleration of the pendulum bob?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc88a4be5-ce0c-4e25-871d-a0bd16127b90%2F9e23f56a-b422-430a-aecd-825d5e603cb7%2Fgtbgun_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The
pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0
from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular
Motion Experiment worksheet except that we are not going in a full circle.
a. Draw the free body diagram of forces acting on the pendulum
bob. Include a coordinate system on your diagram showing your
choice for the +x and +y directions.
b. Write out Newton's 2nd law EF = mã for each direction.
X:
y:
c. What is the tangential acceleration of the pendulum bob?
d. Determine the tension of the string.
e. What is the magnitude of the total acceleration of the pendulum bob?
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