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Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
51 A Block-Spring System A 320-g block connected to a light spring for which the force...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
A frictionless block of mass 2.30 kg is attached to an ideal spring with force constant...
A frictionless block of mass 2.30 kg is attached to an ideal spring with force constant 300 N/m . At t=0the spring is neither stretched nor compressed and the block is moving in the negative direction at a speed of 12.1 m/s . A. Find the amplitude. A =____ m B. Find the phase angle. ϕ = ____ rad C. Multiple Choice: Write an equation for the position as a function of time. (a.) x=(− 1.06 m )sin(( 11.4 rad/s...
A block of mass m = 0.672 kg is fastened to an unstrained horizontal spring whose...
A block of mass m = 0.672 kg is fastened to an unstrained horizontal spring whose spring constant is k = 97.0 N/m. The block is given a displacement of +0.162 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (with sign) that the spring exerts on the block just before the block is released? (b) Find the angular frequency of the resulting oscillatory motion....
A block of mass m is 650 g which is tied to a spring whose spring...
A block of mass m is 650 g which is tied to a spring whose spring constant is 62 N/m. The block is pulled a distance x=11 cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t=0 s. What are the angular frequency, the frequency, and the period of the resulting motion? What is the amplitude of the oscillation? What is the maximum speed Vm of the oscillating block, and where is the...
A 2.00 kg frictionless block is attached to a horizontal spring as shown. Spring constant k...
A 2.00 kg frictionless block is attached to a horizontal spring
as shown. Spring constant k = 200.00 N/m. At t = 0, the position x
= 0.225 m, and the velocity is 4.25 m/s toward the right in the
positive x direction. Position x as a function of t is: x =
A*cos(?t + theta) , where A is the amplitude of motion and ? is the
angular frequency discussed Chapter 11 and the notes. Theta is
called the...
3 pts) A block attached to the end of a spring moves in simple harmonic motion...
3 pts) A block attached to the end of a spring moves in simple harmonic motion according to the position function z(t) = X cos where the period of the motion is 4.0 s and the amplitude of the motion is 15 cm a) State the value of X b) State the value of T c) Determine the frequency of the motion Hz d) Determine the position of the block after 1.0s: Determine the position of the block after 2.0...
A block of mass m = 6.04 kg is attached to a spring with spring constant...
A block of mass m = 6.04 kg is attached to a spring with spring constant k = 1572 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.170 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? 2.57 Hz (b) Where is...
A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By...
A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By stretching the block and then releasing it, the block-spring system undergoes simple harmonic motion. The block’s position as a function of time is given by x = 45.0 cm cos(3pi(t) - pi/3) a. Determine the angular frequency and period of the motion b. Determine the amplitude c. Determine the phase angle e. Determine the time when the position x = -18.0cm f. Determine the...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
A 2.00 kg frictionless block is attached to a horizontal spring
as shown. Spring constant k = 200.00 N/m. At t = 0, the position x
= 0.225 m, and the velocity is 4.25 m/s toward the right in the
positive x direction. Position x as a function of t is: x =
A*cos(?t + theta) , where A is the amplitude of motion and ? is the
angular frequency discussed Chapter 11 and the notes. Theta is
called the...
3 pts) A block attached to the end of a spring moves in simple harmonic motion according to the position function z(t) = X cos where the period of the motion is 4.0 s and the amplitude of the motion is 15 cm a) State the value of X b) State the value of T c) Determine the frequency of the motion Hz d) Determine the position of the block after 1.0s: Determine the position of the block after 2.0...
A block of mass m = 6.04 kg is attached to a spring with spring constant k = 1572 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.170 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? 2.57 Hz (b) Where is...
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