Question

A block of mass 2.5 kg is connected to a spring with k=1250 N/m. (a) At...

A block of mass 2.5 kg is connected to a spring with k=1250 N/m. (a) At t = 0 the block is released from rest at x(t = 0) = 28 mm from equilibrium. The motion is linearly damped with b = 50 kg/s. Find the amplitude A and phase angle ?. (Note that the amplitude is not obviously the displacement at t = 0 as it would be for the undamped case!) (b) Now consider a driving force with FD = 12 N and ?D=25 rad/s being attached to the oscillator. Find the amplitude of oscillations for the damped, driven system.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An oscillator consists of a block of mass 0.900 kg connected to a spring. When set...
An oscillator consists of a block of mass 0.900 kg connected to a spring. When set into oscillation with amplitude 27.0 cm, it is observed to repeat its motion every 0.400 s. (a) Find the period. s (b) Find the frequency. hz (c) Find the angular frequency. rad/s (d) Find the spring constant. N/m (e) Find the maximum speed. m/s (f) Find the maximum force exerted on the block. N please show work and answer
Question 1:A driven and damped mass-spring oscillator has ?= 14.0 g and ?= 1.80 N/m and...
Question 1:A driven and damped mass-spring oscillator has ?= 14.0 g and ?= 1.80 N/m and ?=0.00200 kg/s. The driving frequency is Ω=11.4 rad/s and the driving acceleration is ?=3.33 cm/s2. What is the resulting oscillation amplitude? A.1.56 cm , B.3.32 cm , C.8.20 cm , D.12.7 cm , E.17.7 cm Question 2: A driven and damped mass-spring oscillator has ?= 14.0 g and ?= 1.80 N/m and ?=0.00200 kg/s. The driving frequency is Ω=11.4 rad/s and the driving acceleration...
A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring of spring constant 410 N/m. When t = 1.60 s, the position and velocity of the block are x = 0.102 m and v = 3.050 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 3.00 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 3.00 kg attached to a spring of spring constant 110 N/m. When t = 2.30 s, the position and velocity of the block are x = 0.127 m and v = 3.580 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.90 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 2.90 kg attached to a spring of spring constant 280 N/m. When t = 2.20 s, the position and velocity of the block are x = 0.189 m and v = 3.000 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 1.70 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 1.70 kg attached to a spring of spring constant 340 N/m. When t = 0.840 s, the position and velocity of the block are x = 0.101 m and v = 3.100 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 3.30 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 3.30 kg attached to a spring of spring constant 440 N/m. When t = 1.30 s, the position and velocity of the block are x = 0.154 m and v = 3.540 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 1.80 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 1.80 kg attached to a spring of spring constant 360 N/m. When t = 0.520 s, the position and velocity of the block are x = 0.200 m and v = 4.420 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.60 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 2.60 kg attached to a spring of spring constant 350 N/m. When t = 2.20 s, the position and velocity of the block are x = 0.175 m and v = 3.420 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 4.50 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 4.50 kg attached to a spring of spring constant 210 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.143 m and v = 3.870 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?