In the Consortium Library here on campus, you may have seen the Foucault pendulum, which is...
In the Consortium Library here on campus, you may have seen the Foucault pendulum, which is used to demonstrate the rotation of the earth. In one such pendulum, a 100 kg bob swings from a 20.0-m-long cable with a maximum angular displacement of 5.0°.
a. What is the period of this simple pendulum?
b. If the “simple pendulum” described above was replaced by a solid rod of the same length and mass, what would be the period of the new pendulum? The moment of inertia of a solid rod of mass M and length L, pivoting about its end, is I = 1/3 M L2 .
c. How would you need to adjust the length of the simple pendulum in part (a) in order to make the period twice that in part (b)?
Homework Answers
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In the Consortium Library here on campus, you may have seen the
Foucault pendulum, which is...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 120 kg bob swings from a16.6-m-long cable with an amplitude of 5.5 degrees. Part A:What is the period of this pendulum? Part B:What is the bob's maximum speed? Part C:What is the pendulum's maximum kinetic energy? Part D:When the bob is at its maximum displacement, how much higher is it than when it is...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 110 kg bob swings from a 17.4-m-long cable with an amplitude of 5.0 degrees. When the bob is at its maximum displacement, how much higher is it than when it is at its equilibrium position?
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 120 kg bob swings from a 18.2-m-long cable with an amplitude of 5.0. When the bob is at its maximum displacement, how much higher is it than when it is at its equilibrium position? Express your answer with the appropriate units.
l In a science museum, you may have seen a Foucault pe dulum, which is used...
l In a science museum, you may have seen a Foucault pe dulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 5.0°. a. What is the period of this pendulum? b. What is the bob's maximum speed? c. What is the pendulum's maximum kinetic energy? d. When the bob is at its maximum displacement, how much higher is it than when...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 55 Part A What is the period of this pendulum? Express your answer with the appropriate units. UA th ? T = Value Units Submit Request Answer Part B What is the bob's marcimum speed? Express your answer with the appropriate units...
Review l Constants Periodic Table Part A In a science museum, you may have seen a...
Review l Constants Periodic Table Part A In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 120 kg bob swings from a 18.2-m-long cable with an amplitude of 5.5 What is the period of this pendulum? Express your answer with the appropriate units. rValue Units Subrmit ▼ Part B What is the bob's maximum speed? Express your answer with the appropriate units nits...
A simple pendulum has a rod of length LL with a bob of mass m=0.100 kg...
A simple pendulum has a rod of length LL with a bob of mass
m=0.100 kg at the end of the rod. The rod is supposed to be very
light and all the mass is imagined to be concentrated in the
bob.
A) What is the tension in the string when the pendulum swings by
an angle θ=5.00∘?
B) What is the magnitude of the restoring force on the bob when
θ=5.00∘?
C) If you drop a perpendicular from the...
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose...
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose center is attached to the end of a uniform rod of mass m and length 4R which is pivoted about an axis at its end. a) The pendulum is constructed with a sphere of mass 1.5 kg and radius 15 cm, rod of mass .50 kg and length 60 cm. The mass swings in simple harmonic motion of maximum amplitude of /6 radians. Find...
A compound pendulum is made up of a rod of length L, with mass M and...
A compound pendulum is made up of a rod of length L, with mass M and a solid sphere of radius r, with mass m (see figure below). The pendulum is pivoted about one end and released from rest from and angle of 0, (angle with the vertical). (a) Find the distance, dom, of center of mass of this pendulum from its pivot. (b) Draw a free body diagram and write down Newton's 2nd Law (for rotation) for the pendulum...
2. The position of the motion of the bob in a simple pendulum in radians is...
2. The position of the motion of the bob in a simple pendulum in radians is given by 0(t)-3cos What is the amplitude, frequency, and period of the motion? 3.A man enters a tall tower needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, and its period is 12 s. How tall is the tower? Two playground swings start out together. After 5 complete oscillations, the swings are out of...
l In a science museum, you may have seen a Foucault pe dulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 5.0°. a. What is the period of this pendulum? b. What is the bob's maximum speed? c. What is the pendulum's maximum kinetic energy? d. When the bob is at its maximum displacement, how much higher is it than when...
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 55 Part A What is the period of this pendulum? Express your answer with the appropriate units. UA th ? T = Value Units Submit Request Answer Part B What is the bob's marcimum speed? Express your answer with the appropriate units...
Review l Constants Periodic Table Part A In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 120 kg bob swings from a 18.2-m-long cable with an amplitude of 5.5 What is the period of this pendulum? Express your answer with the appropriate units. rValue Units Subrmit ▼ Part B What is the bob's maximum speed? Express your answer with the appropriate units nits...
A simple pendulum has a rod of length LL with a bob of mass
m=0.100 kg at the end of the rod. The rod is supposed to be very
light and all the mass is imagined to be concentrated in the
bob.
A) What is the tension in the string when the pendulum swings by
an angle θ=5.00∘?
B) What is the magnitude of the restoring force on the bob when
θ=5.00∘?
C) If you drop a perpendicular from the...
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose center is attached to the end of a uniform rod of mass m and length 4R which is pivoted about an axis at its end. a) The pendulum is constructed with a sphere of mass 1.5 kg and radius 15 cm, rod of mass .50 kg and length 60 cm. The mass swings in simple harmonic motion of maximum amplitude of /6 radians. Find...
A compound pendulum is made up of a rod of length L, with mass M and a solid sphere of radius r, with mass m (see figure below). The pendulum is pivoted about one end and released from rest from and angle of 0, (angle with the vertical). (a) Find the distance, dom, of center of mass of this pendulum from its pivot. (b) Draw a free body diagram and write down Newton's 2nd Law (for rotation) for the pendulum...
2. The position of the motion of the bob in a simple pendulum in radians is given by 0(t)-3cos What is the amplitude, frequency, and period of the motion? 3.A man enters a tall tower needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, and its period is 12 s. How tall is the tower? Two playground swings start out together. After 5 complete oscillations, the swings are out of...
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