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5) Write the Hamiltonian for a simple pendulum (mass nan for a simple pendulum (mass m...
A simple pendulum is 5.70 m long. (a) What is the period of simple harmonic motion...
A simple pendulum is 5.70 m long. (a) What is the period of simple harmonic motion for this pendulum if it is located in an elevator accelerating upward at 3.65 m/s^2 (s)? (b) What is its period if the elevator is accelerating downward at 3.65 m/s^2 (s)? (c) What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally at 3.65 m/s^2 (s)?
A simple pendulum is 2.00 m long. (a) What is the period of small oscillations for...
A simple pendulum is 2.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 6.00 m/s2? s (b) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating downward at 6.00 m/s2? s (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at 6.00 m/s2? please answer this...
2. 0/24 points | Previous Answers SerCP7 13.P.034 A simple pendulum is 7.00 m long. (a)...
2. 0/24 points | Previous Answers SerCP7 13.P.034 A simple pendulum is 7.00 m long. (a) What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator accelerating upward at 8.00 m/s2? 1.88 X s (b) What is its period if the elevator is accelerating downward at 8.00 m/s2 2.11 (c) What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally...
A simple pendulum is 4.80 m long. (a) What is the period of small oscillations of...
A simple pendulum is 4.80 m long. (a) What is the period of small oscillations of this pendulum if it is placed in an airplane moving at a constant velocity of 204 m/s at an angle of 52 degrees above the horizontal? (b) What is its period if it is located in an elevator accelerating upward at 8.10 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at 8.10...
10. -13 points SerPSE10 15.5.0P.026. My Notes A simple pendulum is 6.00 m long. (a) What...
10. -13 points SerPSE10 15.5.0P.026. My Notes A simple pendulum is 6.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 4.00 m/s?? (b) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating downward at 4.00 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at...
A) Write the Lagrangian for a simple pendulum consisting of a point mass m suspended at...
A) Write the Lagrangian for a simple pendulum consisting of a point mass m suspended at the end of a massless string of length l. Derive the equation of motion from the Euler-Lagrange equation, and solve for the motion in the small angle approximation. B) Assume the massless string can stretch with a restoring force F = -k (r-r0), where r0 is the unstretched length. Write the new Lagrangian and find the equations of motion. C) Can you re-write the...
A simple pendulum is a massless string with a point mass at the end. The mass...
A simple pendulum is a massless string with a point mass at the end. The mass is 0.6 kg. The length of the pendulum is 0.1 m. The amplitude is 7.5°. What is the period of the pendulum?
Problem 2) Consider a simple pendulum consisting of a bob of mass m suspended by a...
Problem 2) Consider a simple pendulum consisting of a bob of mass m suspended by a massless rigid rod of length l. (a) Find the Hamiltonian of the system by following the prescription given in the textbook. (b) Find the Hamilton's equations of motion.
8. A simple pendulum is a point mass on a massless string, and T, = 2「/,...
8. A simple pendulum is a point mass on a massless string, and T, = 2「/, A physical pendulum formed by a small mass on a lightweight string is approzimately a simple pendulum, but not quite, its period is T, 2n shorter than the period of a simple pendulum with the same length? Assume L is measured to the center of mass, and justify your answer. 2Vm L. Is the period of a physical pendulum longer or
Question 3 3. Consider a plane pendulum consisting of a mass m suspended by a massless...
Question 3
3. Consider a plane pendulum consisting of a mass m suspended by a massless string of length I. Suppose that that time t-0 the pendulum is put into motion and the length of the string is shortened at a constant rate ot-a (ie. L(t)= Lo-at). Use the angle of the pendulum φ as your generalized coordinate. (a) (2 points) Obtain the Lagrangian and Hamiltonian for this system (b) (0.5 points) Is H conserved? How can you tell? (c)...
2. 0/24 points | Previous Answers SerCP7 13.P.034 A simple pendulum is 7.00 m long. (a) What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator accelerating upward at 8.00 m/s2? 1.88 X s (b) What is its period if the elevator is accelerating downward at 8.00 m/s2 2.11 (c) What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally...
10. -13 points SerPSE10 15.5.0P.026. My Notes A simple pendulum is 6.00 m long. (a) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 4.00 m/s?? (b) What is the period of small oscillations for this pendulum if it is located in an elevator accelerating downward at 4.00 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at...
Problem 2) Consider a simple pendulum consisting of a bob of mass m suspended by a massless rigid rod of length l. (a) Find the Hamiltonian of the system by following the prescription given in the textbook. (b) Find the Hamilton's equations of motion.
8. A simple pendulum is a point mass on a massless string, and T, = 2「/, A physical pendulum formed by a small mass on a lightweight string is approzimately a simple pendulum, but not quite, its period is T, 2n shorter than the period of a simple pendulum with the same length? Assume L is measured to the center of mass, and justify your answer. 2Vm L. Is the period of a physical pendulum longer or
Question 3
3. Consider a plane pendulum consisting of a mass m suspended by a massless string of length I. Suppose that that time t-0 the pendulum is put into motion and the length of the string is shortened at a constant rate ot-a (ie. L(t)= Lo-at). Use the angle of the pendulum φ as your generalized coordinate. (a) (2 points) Obtain the Lagrangian and Hamiltonian for this system (b) (0.5 points) Is H conserved? How can you tell? (c)...
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