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ASSESSMENT QUESTIONS: 1. Suppose that it takes 06 seconds for a mass on a spring to...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...
Please do all questions and show work. 1. (2 points) A 200 g mass attached to...
Please do all questions and show work.
1. (2 points) A 200 g mass attached to a light spring oscillates on a frictionless, horizontal table. The mass is pulled 8 cm and released. A student finds that 12 oscillations takes 18 seconds. (a) What is the spring constant? (b) What is the maximum speed of the mass? 2. (3 points) The position of an object connected to a spring varies with time according to the expression x = (7.5 cm)cos...
(a) What is the length of a simple pendulum that oscillates with a period of 2.6...
(a) What is the length of a simple pendulum that oscillates with a period of 2.6 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = LM = Enter a number. Im (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 2.6 s...
(a) What is the length of a simple pendulum that oscillates with a period of 3.0...
(a) What is the length of a simple pendulum that oscillates with a period of 3.0 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = Lм %3 m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 3.0 s on Earth, where...
37. /m, is A kg mass attached to a massless spring with spring constant k-38 N...
37. /m, is A kg mass attached to a massless spring with spring constant k-38 N oscillating without friction. If the mass has a velocity of 2.1 m/s when it is at the equilibrium position, what is the amplitude of the oscillation? b. 0.19 m c. 0.25 m d. 0.33 m e. 0.42 m 38. On earth, you have a pendulum of length L that oscillates with period T. Your friend lives on a planet where the acceleration of gravity...
o) The acceleration due to gravity on the moon is 1/6 of what it is on...
o) The acceleration due to gravity on the moon is 1/6 of what it is on Earth. We are going to do clock experiments on the moon. We have one clock that runs because of the oscillation of a ass (m) on an ideal spring (spring constant k), which oscillates with an amplitude A, We have a second clock that runs because of a simple pendulum made of a mass (m) on a wire of length L, which oscillates with...
2. (35 points) A pendulum consists of a point mass (m) attached to the end of a spring (massless ...
2. (35 points) A pendulum consists of a point mass (m) attached to the end of a spring (massless spring, equilibrium length-Lo and spring constant- k). The other end of the spring is attached to the ceiling. Initially the spring is un-sketched but is making an angle θ° with the vertical, the mass is released from rest, see figure below. Let the instantaneous length of the spring be r. Let the acceleration due to gravity be g celing (a) (10...
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant 1 lb/in is suddenly set in motion at t = 0 by an external force of 3 cos 7t lb, determine the position of the mass at any time. (Use g = 32 ft/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in feet of the mass from its equilibrium position at time t seconds.) u(t) = ft
1. The longer the pendulum the __________ the period of oscillation. Group of answer choices longer...
1. The longer the pendulum the __________ the period of oscillation. Group of answer choices longer shorter 2. The shorter the period of oscillation, the __________ the frequency of oscillation. Group of answer choices lower higher 3. Which of the following does not affect the period of oscillation for a pendulum? Group of answer choices mass of the pendulum length of the pendulum acceleration due to gravity 4. The frequency of oscillation for a mass attached to a spring ____________...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertic...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...
Please do all questions and show work.
1. (2 points) A 200 g mass attached to a light spring oscillates on a frictionless, horizontal table. The mass is pulled 8 cm and released. A student finds that 12 oscillations takes 18 seconds. (a) What is the spring constant? (b) What is the maximum speed of the mass? 2. (3 points) The position of an object connected to a spring varies with time according to the expression x = (7.5 cm)cos...
(a) What is the length of a simple pendulum that oscillates with a period of 2.6 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = LM = Enter a number. Im (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 2.6 s...
(a) What is the length of a simple pendulum that oscillates with a period of 3.0 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = Lм %3 m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 3.0 s on Earth, where...
37. /m, is A kg mass attached to a massless spring with spring constant k-38 N oscillating without friction. If the mass has a velocity of 2.1 m/s when it is at the equilibrium position, what is the amplitude of the oscillation? b. 0.19 m c. 0.25 m d. 0.33 m e. 0.42 m 38. On earth, you have a pendulum of length L that oscillates with period T. Your friend lives on a planet where the acceleration of gravity...
o) The acceleration due to gravity on the moon is 1/6 of what it is on Earth. We are going to do clock experiments on the moon. We have one clock that runs because of the oscillation of a ass (m) on an ideal spring (spring constant k), which oscillates with an amplitude A, We have a second clock that runs because of a simple pendulum made of a mass (m) on a wire of length L, which oscillates with...
2. (35 points) A pendulum consists of a point mass (m) attached to the end of a spring (massless spring, equilibrium length-Lo and spring constant- k). The other end of the spring is attached to the ceiling. Initially the spring is un-sketched but is making an angle θ° with the vertical, the mass is released from rest, see figure below. Let the instantaneous length of the spring be r. Let the acceleration due to gravity be g celing (a) (10...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
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