An oscillator consists of a block of mass 0.593 kg connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.418 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.

An oscillator consists of a block of mass 0.593 kg connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.418 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.

Related questions

Q: An object of mass 1.80 kg is oscillating freely on a vertical spring with a period of 0.510 s.…

A: an object is fall on on spring which has mass 1.8 kg and time period 0.510 s

Q: An object is hung on a vertical spring originally at rest and set to start bobbing up and down by…

A: Given:mass of the object = 250 gSpring constant = 10 N/m

Q: A damped oscillator has mass m=5.3 kg, spring constant k = 27 N/m, and viscous force constant c = 11…

A: Given that:mass Spring Constant Viscous Force Constant Amplitude of Driving Force: desired Threshold…

Q: A small ball of mass 25 g is attached to a vertical spring. The ball performs harmonic oscillations…

Q: Deuterium is an isotope of hydrogen which has one proton and one neutron in its nucleus, as opposed…

A: Given data, Vibrational frequency of H2 molecule = 1.3x1014 Hz

Q: A spaceship whose rest length is 406 m has a speed of 0.83c with respect to a certain reference…

A: Given: The rest length of spaceship is L=406 m. The speed of spaceship relative to reference frame…

Q: The period of a mass-spring oscillator is 2.28 s. Every time the oscillator completes a full period,…

A: given- time period of mass spring oscillator = 2.28 s

Q: Multiple-Concept Example 6 presents a model for solving this problem. As far as vertical…

Q: A damped harmonic oscillator consists of a block (m = 3.90 kg), a spring (k = 9.33 N/m), and a…

A: Given,The mass of the block = m = 3.90 kgThe spring constant = k = 9.33 N/mDamping force, F = -bva)…

Q: A block of mass 0.300 kg attached to a horizontal springoscillates on a frictionless surface. The…

A: (a) force constant Umax=12kA2E=12kA2k=2EA2=26.00×10-2 J0.0440 m2=6.20×103 N/m

Q: A simple pendulum makes 138 complete oscillations in 2.60 min at a location where g = 9.80 m/s2.…

A: Given data The number of oscillations is given as N = 138. The time taken by one oscillaton is…

Q: A 2.24-kg object on a frictionless horizontal track is attached to the end of a horizontal spring…

Q: An object of mass 2.10 kg is oscillating freely on a vertical spring with a period of 0.670 s.…

A: The period of oscillation for the spring is given as, Here, m and k represent the mass of an object…

Q: Ignoring the mass of the spring, what is the mass m of the fish?

Q: A horizontal block-spring system has a spring constant k = 100 N/m and a mass m = 0.1 kg. At t = 0,…

A: spring constant (k) = 100 Nmmass (m) = 0.1 kg Initial position (xo) = 5 cm = 0.05 m Initial velocity…

Q: An object of mass 2.40 kg is oscillating freely on a vertical spring with a period of 0.570 s.…

Q: An object of mass 1.20 kg is suspended by a spring which stretches 12.0 cm when the object is…

A: Given data: The mass of object is m=1.2 kg. The initial displacement is x=12 cm×1 m100 cm=0.12 m.…

Q: A mass attached to the end of a spring is oscillating with a period of 2.25 s on a horizontal…

A: (a)The equation for the displacement of the oscillator is given by

Q: A damped harmonic oscillator consists of a block (m = 3.21 kg), a spring (k = 9.27 N/m), and a…

Q: A vertical spring (spring constant = 135 N/m) is mounted on the floor. A 0.430-kg block is placed on…

Q: The acceleration due to gravity in this problem is taken to be g = 9.80 m/ s2 , unless otherwise…

A: Given: T = 2 s g = 9.8 m/s2 T' = 1.99796 s

Q: A cart of mass 350 g is placed on a frictionless horizontal air track. A spring having a spring…

Q: A 10.0 kg object oscillates at the end of a vertical spring that has a spring constant of 1.90 x 104…

A: Mass , m = 10 kg Spring constant , k = 1.9 x 104 N/m b = 3 Ns/m To find = a) Frequency of damped…

Q: A mass m is attached to a spring with a spring constant motion. A mass m1 is now attached to m, and…

Q: presents a model for solving this problem. As far as vertical oscillations are concerned, a certain…

Q: A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg,…

Q: A simple pendulum makes 126 complete oscillations in 3.60 min at a location where g = 9.80 m/s2.…

Q: A vertical spring stretches 8.2 cm when a 1.6 kg block is hung from its end. (a) Calculate the…

Question

An oscillator consists of a block of mass 0.593 kg connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.418 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Introduction:

VIEW

Calculations:

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

could you also do d e and f?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

A block is attached to a spring with a sping constant of 7.6 N/m and it undergoes simple harmonic motion. The amplitude of the blocks motion is 6.30 cm. When the block is halfway between its equilibrium position and the end point of it's motion, its speed is measured to be 28.9 cm/s. Calculate : (a) the mass of the block, (b) the period of the motion, and (c) the maximum acceleration of the block.
A mass of 16 kilograms is suspended from a spring with spring constant 7 Kg/sec^2. The damping constant is 2 Kg/sec and the spring is subject to an external force F(t)= 3cos(9t) Newtons. The motion of the mass eventually settles down to a periodic oscillation. What is the period (in sec) of this periodic oscillation? 2 9.
A 0.50 kg object rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 25.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The object is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. How fast is the object moving (in m/s) when the spring is momentarily compressed by 1.30 cm (that is, when x = −1.30 cm)? How fast is the object moving (in m/s) whenever the spring is extended by 1.30 cm (that is, when passing through x = +1.30 cm)?
A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.
An object of mass 1.70 kg is oscillating freely on a vertical spring with a period of 0.640 s. Another object of unknown mass on the same spring oscillates with a period of 1.09 s. Find the spring constant k. N/m(b) Find the unknown mass. kg
An object of mass 1,996kg is attached to a spring with a spring constant of 3.53 x 10^5 N/m. Suppose the mass is pulled to the left and released to set it into oscillation l. Calculate the frequency of oscillation.
A 2.5-kg object hanging from a vertical spring of force constant 600 N/m oscillates with an amplitude of 3 cm. When the object is at its maximum downwards displacement, find (a) the total energy of the system, (b) the gravitational potential energy, and (c) the potential energy in the spring. (d) What is the maximum kinetic energy of the object? (Hint: choose potential energy = 0 when the object is in equilibrium.)
A spring with spring constant 15.0 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 6.00 cm and released. If the ball makes 30 oscillations in 20.0 s, what are its (a) mass and (b) maximum speed?
The amplitude of a 2.40-kg mass oscillating on a horizontal frictionless surface is 13.5 cm. If thespring to which the mass is attached has a spring constant of 8.24 x 10^3N/m, then what is the maximum speed of the mass?
A 150 g weight oscillates on a vertical spring. The equation of the mass's position (m) vs time (s) is Asin((omega)*t + (phase constant)) + C = y(t) There is a very slight decrease in amplitude over time. As the amplitude decreases over time, how should the frequency be affected? f = (1/2*pi)*((k/m)^(1/2))