At t=0, the displacement x(0) of a block attached to a spring is -850 cm. The block's velocity v(0) is then -.920m/s, and its acceleration a(0) is +47.0 m/s^2
a) what is the angular frequency of this system?
b) what are the phase constant and amplitude of this system?
At t=0, the displacement x(0) of a block attached to a spring is -850 cm. The...
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...
A 190 g block attached to a spring with spring constant 2.0 N/m oscillates horizontally on a frictionless table. Its velocity is 23 cm/s when x0 = -5.9 cm . What is the amplitude of oscillation?, , What is the block's maximum acceleration?, What is the block's position when the acceleration is maximum?, What is the speed of the block when x1 = 2.6 cm ?
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
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...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.80 N is applied. A 0.510-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. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
A block attached to a horizontal spring is pulled to the right a distance of 21.0 cm from the equilibrium position. The block is released and the block-spring system undergoes SHM at f- 1.29 Hz. Assuming that positive is to the right, determine at 0.500 s after release the block's displacement, velocity, and acceleration. Neglect friction. (Indicate the direction with the sign of your answer) (a) displacement cm (b) velocity cm/s (c) acceleration cm/s2
Can you please answer both questions, Y=0 Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
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...
Pls help with detailed explanation of solution Consider a block attached to a spring of spring constant k = 400 N/m. At time t1, the horizontal position (as measured from the location of the end of the spring when the spring is at its natural length) is x = 0.100 m, the velocity is v = −13.6 m/s and the acceleration is a = −123 m/s2. Calculate: (a) The frequency of oscillation (Hint: Consider calculating a/x.) (b) The mass of...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.40 N is applied. A 0.520-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. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...