52. A block weighing 40.0 N is suspended from a spring that has a force constant of 200 N/m. The system is undamped (b= 0) and is subjected to a harmonic driv- ing force of frequency 10.0 Hz, resulting in a forced- motion amplitude of 2.00 cm. Determine the maximum value of the driving force. %3D

52. A block weighing 40.0 N is suspended from a spring that has a force constant of 200 N/m. The system is undamped (b= 0) and is subjected to a harmonic driv- ing force of frequency 10.0 Hz, resulting in a forced- motion amplitude of 2.00 cm. Determine the maximum value of the driving force. %3D

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 20P: A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period...

See similar textbooks

Related questions

Q: 6

Q: 44. Go mmh Astronauts on a distant planet set up a simple pendulum of length 1.2 m. The pendulum…

A: The pendulum makes 100 vibrations in 280s. So,

Q: A square raft with edge length L = 2.7 m floats on a pond. You step on the raft, then dive off, and…

A: When the person steps on ramp, the ramp sinks & settles in the equilibrium. We call that as…

Q: A 50.0-g object is attached to a horizontal spring with a force constant of 5.0 N/m and released…

A: Mass of object (m) = 50 g = 0.05 kg Force constant of the spring (k) = 5 NmAmplitiude (A) = 30 cm =…

Q: A simple pendulum makes 120 complete oscillations in 3.00 min at a location where g = 9.80 m/s2.…

Q: A 0.850 kg block is attached to a spring with a spring constant 13.5 N/m . While the block is…

Q: 14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in…

Q: A 60.0-g object is attached to a horizontal spring with a force constant of 3.0 N/m and released…

A: Given Mass of the object is m=60.0 g=60.0×10-3 kg Force constant is k=3.0 N/m Amplitude of motion is…

Q: 14.6 SUPPLEMENTARY PROBLEMS 1, A particle moves with simple harmonic motion in a straight line. At…

Q: What are the (a) amplitude and (b) frequency of the oscillation as shown?

A: Given data: The amplitude is: A The frequency of oscillation is: f The time period is: T (a)The…

Q: 8.For Spring mass damper system, m=1 Kg, k=1N/m, c=1/4 N.s/m, subjected to harmonic excitation force…

A: Given- Mass (m) = 1 Kg K = 1 N/m, c = 1/4 N.s/m Amplitude (F) = 2 N Frequency (ω) =4 rad/sec

Q: What is the maximum velocity of a 3.89 kg mass hanging on a 4.50E2 N/m spring if released with an…

A: Given: The mass of the object is m=3.89 kg. The spring constant is k=4.50×102 N/m. The amplitude is…

Q: Q5\1: A damping harmonic oscillator with, m-5 kg, k-180 N/m and c-30 kg/s is subject to a driving…

Q: %3D The equation of motion of a particle in simple harmonic motion is given by: x(t) =D 0.1cos(wt),…

Q: 4. Prove that x = Ae¯2m' cO s(@t + q) is the solution of a damped oscillation equation m d²x +b + kx…

A: Given equation of damped oscillation, md2xdt2+bdxdt+kx=0 We know, for damped oscillation,…

Q: 3. A mass weighing 24 lb is attached to a spring with a constant of 3 lb/ft. Assuming that there is…

A: For resonance to occur, the angular frequency of the applied force must be equal to the natural…

Q: A spring oscillator is designed with a mass of 0.273 kg. It operates while immersed in a damping…

A: Solution :- Given that, A spring oscillator is designed with a mass of 0.273 kg, and the…

Q: A 1.50 kg mass on a spring has a displacement as a function of time given by the equation: v(t) =…

A: mass (m) = 1.50 kg v(t) = 4.84cms×Sin{ (5Hz×t) - 2.42}

Q: 2. An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical…

A: Write the standard equation of motion. Here, A is the amplitude and ω is the angular velocity.…

Q: 1) A 0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f =…

Q: An object moving in simple harmonic motion has an amplitude of 0.0443 m and a maximum acceleration…

Q: The displacement at any given time of an object is x = 5 sin 314 t, where the symbols have their…

Q: 29. Which is of the following is always TRUE about a particle in simple harmonic motion? A. The…

A: Simple harmonic motion: Repetitive movement back and forth through an equilibrium, or central,…

Q: 13.16 A harmonic oscillator has a period of 0.314 s and an amplitude of 7.0 cm. Att = 0 it is at x =…

A: Given Time period (T) = 0.314 sec Amplitude (A) = 7.0 cm

Q: A 55.0 g hard-boiled egg moves on the end of a spring with force constant 25.0 N/m. Its initial…

Q: A 40.0-g object is attached to a horizontal spring with a force constant of 5.0 N/m and released…

A: Mass of the object= 40 kg force constant = k = 5 N/m Amplitude = A = 25 cm = 0.25 m Halfway to the…

Q: 54. Considering an undamped, forced oscillator (b 0), show that Equation 15.35 is a solution of…

Q: A 50.3 g object is attached to a horizontal spring with a spring constant of 11.1 N/m and released…

A: Mass of object (m) = 50.3 g = 0.0503 kg Spring constant (k) = 11.1 N/m Amplitude (A) = 26.9 cm =…

Q: A103 The bob of a simple pendulom moves simple harmonically with amplitude 8.0 cm and period 2.00s.…

A: Amplitude of the pendulum is A = 0.08 m Time period is T = 2.00 s Mass of the bob is m = 0.50 kg…

Q: 1. When a 2.5 kg mass is suspended from a spring stretches by 0.05m. (a) What is the force constant…

Q: A 0.500 kg mass is oscillating on a spring with k = 330 N/m. The total energy of its oscillation is…

Q: If a car has a suspension system with a force constant of 5.5 10* N/m, how much energy must the…

A: Assume an elastic pad of force constant (k) is compressed by a distance (x) when a man jumps on it.…

Q: 4. A system exhibits simple harmonic motion with a frequency of 0.85 cycles per second. Calculate…

Q: A 0.500 kg mass is attached to a spring and executes SHM with a velocity given by TT 11 rad). v(t) =…

Q: N10T.1 If you double the amplitude of a harmonic oscilla- tor, the oscillator's period A. Decreases…

A: Answer : option C , time period dose not change.Time period is independent of Amplitude of…

Q: A 0.650-kg object attached to a spring with a force constant of 9.1 N/m vibrates in simple harmonic…

A: Given Data: The mass of the object is: m=0.650 kg The spring constant is: k=9.1 N/m The amplitude of…

Q: 1. A body moving with simple harmonic motion experiences a force that is a. proportional to sine and…

A: A body in harmonic motion experiences a force F that is directly proportional to the displacement…

Q: 3. What is the acceleration due to gravity in a region where a simple pendulum having a length 75cm…

A: Remember that period of a simple pendulum is given by: T = 2 πLg Where L = length of the pendulum =…

Q: A 1.25 kg ball is attached vertically to a spring with a spring constant of 10.2 N/m. The wooden…

Q: 3. The length of a pendulum is (75.5 ± 0.1) cm. What is the period of this pendulum in a place where…

Q: A2.51 kg mass is attached to a spring, In the absence of damping, its maximum speed is 1.64 ms when…

A: Mass = 2.51 kg Maximum speed = 1.64 m/s Amplitude of motion = 12.5 cm

Q: 22. When an object in simple harmonic motion reaches its maximum displacement, which of the…

A: When an object is in simple harmonic motion, which of the following statements are true.

Q: A 1.50-kg mass on a spring has displacement as a function of time given by the equation x= (1.20…

A: Given value--- mass = 1.5 kg. displacement x= (1.20 m) cos[(4.16 s-1) t ] . We have to find---…

Q: 7. In a lab experiment, you are given a spring with a spring constant of 14 N/m. What mass would you…

A: The equation for the period is given by,

Q: 3, tor as a fune (b) Estimate the frequency. v (m/s) +5 0. 0.1 0.2 0.3 -5 Figure P11.11 11.2…

A: Answer (12) Spring constant of the spring is T = 2π ( m/k)1/2 On squaring both side we get T2 =…

Q: 113. Which one of the following gives the phase difference between the particle velocity and the…

Question

52. A block weighing 40.0 N is suspended from a spring
that has a force constant of 200 N/m. The system is
undamped (b= 0) and is subjected to a harmonic driv-
ing force of frequency 10.0 Hz, resulting in a forced-
motion amplitude of 2.00 cm. Determine the maximum
value of the driving force.
%3D

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?
The mechanical energy of an undamped block-spring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.
A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = 3.00 cm (that is, the spring is compressed by 3.00 cm). Find (a) the period of the gliders motion, (b) the maximum values of its speed and acceleration, and (c) the position, velocity, and acceleration as functions of time.
A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
A very light rigid rod of length 0.500 m extends straight out from one end of a meterstick. The combination is suspended from a pivot at the upper end of the rod as shown in Figure PI5.42. The combination is then pulled out by a small angle and released, (a) Determine the period of oscillation of the system, (b) By what percentage does the period differ from the period of a simple pendulum 1.00 m long?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. The total energy of the system is 2.00 J. Find (a) the force constant of the spring and (b) the amplitude of the motion.
(a) If frequency is not constant for some oscillation, can the oscillation be simple harmonic motion? (b) Can you mink of any examples of harmonic motion where the frequency may depend on the amplitude?