A block of mass M is suspended from a ceiling by a spring with spring stiffness constant k. A penny of mass m placed on top of the block. What is the maximum amplitude of oscillations that will allow the penny to just stay on top of the block? (Assume m « M.)

A block of mass M is suspended from a ceiling by a spring with spring stiffness constant k. A penny of mass m placed on top of the block. What is the maximum amplitude of oscillations that will allow the penny to just stay on top of the block? (Assume m « M.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 53P: If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the...

See similar textbooks

Related questions

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

A: Given data: Gravitational acceleration at a place is, g'=g9. (g is the gravitational…

Q: A mass is attached to the end of a horizontal spring that oscillates frictionlessly. At which point…

A: Given: A mass is oscillating

Q: What mass on a spring with a spring constant of 160 N/m will oscillate with a period of 2.0 s?

Q: An object takes 0.273 s to oscillate once. What is its frequency? ). If you double the frequency of…

A: time period = T = 0.273 s frequency = f = ?

Q: On the surface of the moon, the acceleration of gravity is about one-sixth that on the Earth. What…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: Simple pendulum: A simple pendulum is a body that is suspended from rigid support so that it can…

Q: Imagine a baseball swinging on a massless string, like a pendulum. What effect does doubling the…

Q: A mass is attached to a horizontal spring and set to oscillating on a frictionless surface. At what…

A: mass = m let spring constant = k let amplitude = A

Q: A uniform thin rod of length 0.987 m is hung from a horizontal nail passing through a small hole in…

Q: Consider a simple harmonic oscillator consisting of a one kilogram mass m' on a spring with…

Q: A sphere of mass m = 3.5 kg can move across a horizontal, frictionless surface. Attached to the…

Q: What is the oscillatory period (T) of an extended horizontal spring with a spring force constant of…

A: According to Hooke's law, the force needed to extend or compress a spring is directly proportional…

Q: Suppose a light spring is loaded with a mass of 50 x 10³ kg and it extends by 10 x 10² m. The force…

A: Given : Mass of spring (m) = 50 × 10-3 kg length (l) = 10 × 10-2 m

Q: A vibrating spring supports a mass of 200 g and vibrates at frequency 3.95 Hz. If we replace this…

Q: Consider a horizontal spring- mass system with an object of mass m attached to a spring of constant…

A: Correct option : quadrupled (×4) Because We know period of oscillation of horizontal spring…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then %3D the frequency…

A: Given data: g'=4g Need to determine the frequency of the pendulum on the place.

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: Let the length of pendulum = L Let the time period = T Let the frequency = f

Q: Consider a pendulum, of length I and a bob of mass mat its end, moving through a lubricated oil with…

A: Given : Fr=-2mgllθ˙ length of pendulum is l. mass of bob is m.…

Q: A mass on a string is swinging back and forth with a period of 9.00 s. If the string is reduced to…

A: Given: Time period T= 9secs Find: Time period when the string is reduced to half its length.…

Q: A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A. At…

Q: If a 60.0-kg jumper uses a bungee cord that has an unstretched length of 35.9 m and she jumps from a…

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g = g/9), then the frequency…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A: We have given that acceleration due to gravity of earth is g acceleration due to gravity of other…

Q: An object of unknown mass is suspend from a spring, which stretches by 10cm as a result. If the…

Q: What will be the period of oscillation (in seconds) of a mass-spring system whose spring has an…

Q: What is the period of oscillation (in seconds) of a rod of length 4.91m that is fixed at one end,…

A: We use simple harmonic oscillation concept here to find out time period of oscillation

Q: Ideally (neglecting air resistance and friction) for a mass oscillating on a spring, is the velocity…

A: The mass oscillating in a spring constitute simple harmonic motion. For a simple harmonic motion…

Q: If a mass m is attached to a given spring,its period of oscillation is T. If two such springs are…

A: Given:If a mass m is attached to a given spring, its period of oscillation is T. If two such springs…

Q: In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or…

A: Ans:- Image-1

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

Q: A 2-kg mass is attached to a spring with stiffness k = 18. Neglecting 4. ( dampıng, write out the…

A: Given: The mass of the object is 2 kg. The spring constant is 18 N/m.

Q: Consider a place where the gravity is one- fourth the gravity on Earth (g' = g/4), then the…

Q: Consider an ideal mass-spring system that is hung vertically in a lift. When the lift is stationary,…

A: Let mass = m spring constant = k Time period when lift is stationary = T

Q: A simple pendulum consisting of a bob of mass m attached to a string of length L swings with a…

A: Given data The initial mass of the bob is m. The length of the string is L. The time period is…

Q: A damped SHO has spring constant, k=10 N/m, mass, m=1 kg and friction constant, b=2kg/s. What is the…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), %3D then the frequency…

Q: What will be the period of oscillation (in seconds) of a mass-spring system whose spring has an…

A: Formula T = 2 π sqrt ( m / k ) m is mass. m = 3852.8 g = 3.8528 kg k is spring constant. , k = 110.4…

Q: If there is an oscillator with M = 160 kg, K = 80N/m (a) what is the period of the motion?

A: The period of oscillator is given by T=2πMK…

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

A: We know that frequency of pendulum is five by f= 12πgL

Question

A block of mass M is suspended from a ceiling by a spring
with spring stiffness constant k. A penny of mass m
placed on top of the block. What is the maximum amplitude
of oscillations that will allow the penny to just stay on top
of the block? (Assume m « M.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?
. A mass of 0.75 kg is attached to a relaxed spring with k = 2.5 N/m. The mass rests on a horizontal, frictionless surface. If the mass is displaced by 0.33 m, what is the magnitude of the force exerted on the mass by spring? If the mass is then released to execute simple harmonic along the surface, with what frequency will it oscillate?
If the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?
A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?
A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 12.28.
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
Near the top of the Citigroup Center building in New York City, there is an object with mass of 4.00105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. (a) What effective force constant should the springs have to make the object oscillate with a period of 2.00 s? (b) What energy is stored in the springs for a 2.00-m displacement from equilibrium?
Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.
A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the vertical direction and released. The mass oscillates with a frequency f0. If the mass is replaced with a mass nine times as large, and the experiment was repeated, what would be the frequency of the oscillations in terms of f0?