Help with these 2 questions An object of mass 0.67 kg is attached to a spring...
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...
A 3.5 kg object is attached to a horizontal spring of force constant k= 1500 N/m. The spring is stretched 15cm equilibrium and released. Find A. the frequency and the period of the motion, and B. The maximum speed. C. When does the object first reach its equilibrium position? D. What are the potential and kinetic energies when the displacement is one quarter of the amplitude?
14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in simple harmonic motion is shown below. x (cm) 2.00 1.00 0.0034 -9.00 For this motion, find the following: a) The amplitude b) The period c) The angular frequency d) The maximum speed e) The maximum acceleration f What is the amount of mechanical energy of the system during the motion? g) Write an equation for its position as a function of time....
A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position. (a) What is the frequency of the oscillations of the object? (b) Determine the maximum speed of the cart. (c) Find the maximum acceleration of the mass (d) How much total energy does this oscillating...
A 0.82 kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing. Determine the following. amplitude A of the motion m angular frequency omega rad/s spring constant k N/m speed of the object at t=...
A 0.81-kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing, x (m) 0.10 --- 04 16.0 -0.10 - - - - - - Determine the following. (a) amplitude A of the motion (b) angular...
Could you please answer all of the following questions? 1. A 3 kg object attached to a spring oscillates with an amplitude of 15 cm and a period of 2 s. At a time t = 0.5 s, the object's position is x = 9.1 cm. Determine a) the spring constant of the spring b) the total energy of the system (in joules) c) the maximum speed of the object d) the position of the object as a function of...
Q2. A mass of 300 g is attached to a spring hanging from the ceiling. The spring stretches 20 cm when the mass is added. What is the spring constant of the spring? If the mass is now pulled 8 cm below it’s new equilibrium position, what will be the frequency of the oscillation What is the maximum speed of the mass? At what position will it have a speed that is one third of the maximum speed? What is...
PHY152 Problem Assignment #1 SHOW YOUR WORK 1. A3 kg object attached to a spring oscillates with an amplitude of 15 cm and a period of 2s. At a time t0.5 s, the object's position is x - 9.1 cm. Determine... a) the spring constant of the spring b) the total energy of the system (in joules). maximum speed of the object d) the position of the object as a function of time.
A 2-kg object is suspended at rest from a vertical spring (K=196 N/m) attached to the ceiling. From this equilibrium position, the object is pulled down an additional distance d=3 cm and released from rest. a) Considering the upward direction to be positive, find the amplitude, frequency and phase constant of the simple harmonic motion and write the equation of the motion. b) find the speed of the object at the moment when it is 3 cm above the release...