A 5.0-kg object is executing simple harmonic motion, while attached to a spring that obeys Hooke's law, according the the graph below. What is the value of the spring constant? 4x (m) 1 3 6.

Dr. Chaos uses his watch to hypnotize unsuspecting citizens in attempting to rob them. His watch is a simple pendulum that he sets into simple harmonic motion. The length of the pendulum is 0.120 m, and the mass at the end is 2.75 kg. Use the equations below to model the motion of the watch when it is pulled back to a maximum angle of 3.00° and released. s(t)  =  smax cos(?smpt + φ) v(t)  =  −vmax sin(?smpt + φ) a(t)  =  −amax cos(?smpt + φ) Assume the initial phase is zero. What are the following attributes of the watch? (a) period of motion s(b) maximum speed m/s(c) maximum acceleration m/s2

When a pendulum is pulled back from its equilibrium position by 10°, the restoring force is 1.0 N. When it is pulled back to 30°, the force increases to 2.8 N. If the pendulum is then released from 30°, will its motion be periodic? Will its motion be simple harmonic? Explain.

*L 100% A webassign.net A metal cylinder with a mass of 1.50 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the cylinder (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = ± (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s.) m/s2 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = ± (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? J (h) What is the speed of the cylinder (in m/s) when its…

A particle with a mass of 0.1 kg undergoes SHM with an amplitude of 0.05 m. Its maximum acceleration is 10g, where g stands for the gravitational acceleration. What is the period of the oscillation? What is the maximum speed of the particle? What is the total mechanical energy of the particle? What is the magnitude of the force on the particle when it is at 1/3 of its maximum displacement? 2.

What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. Number 1.57 v (cm/s) -15 Units rad

A 4.0-kg block executes simple harmonic motion according to the following equation for the position as a function of time: x(t) = (0.60 m)cos(5t) What is the mechanical energy of the oscillator?   a. 18 J   b. 22 J   c. 20 J   d. 16 J   e. 14 J

In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 45.2 cm) supported in a vertical plane by a pivot located a distance d = 32.6 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion?   Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement                                                           This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times

*81. CD A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 7.0 rad/s. The drawing indicates the position of the block when the spring is unstrained. This position is labeled “x = 0 m." The drawing also shows a small bottle located 0.080 m to the right of this position. The block is pulled to the right, stretching the spring by 0.050 m, and is then thrown to the left. In order for the block to knock over the bottle, it must be thrown with a speed exceeding vọ. Ignoring the width of the block, find v,. x = 0m 0.050 m 0.080 m

Problem Solving A 2.4-kg object on a frictionless horizontal surface is attached to the end of a horizontal spring that has a force constant 4.5 kN/m. The spring is stretched 10 cm from equilibrium and released. What are (a) the frequency of the motion, (b) the period, (c) the amplitude, and (d) the maximum speed? Insert your solution here (use equation editor) Write your answer here (a) with the correct units: (b) (c) (d)