A) A-0.29m, B) f-0.69Hz, C)T= 1.45s 18) A ball is attached to a massless spring described...
17) A 2.0 kg box is traveling at 5.0 m/s on a smooth horizontal surface when it collides with and sticks to a stationary 6.0 kg box. The larger box is attached to a massless spring described by Hooke's law with spring constant 150 N/m, as shown in the figure. Find (A) the amplitude of the resulting oscillations of this system, (B) the frequency of the oscillations, and (C) the period of the oscillations. 5.0 m/s - V. , DEV.Oyiz,...
37. /m, is A kg mass attached to a massless spring with spring constant k-38 N oscillating without friction. If the mass has a velocity of 2.1 m/s when it is at the equilibrium position, what is the amplitude of the oscillation? b. 0.19 m c. 0.25 m d. 0.33 m e. 0.42 m 38. On earth, you have a pendulum of length L that oscillates with period T. Your friend lives on a planet where the acceleration of gravity...
As indicated in the figure, a steel ball (m 200 g) is attached to a massless elastic cord which is initially not stretched. When the ball is released from rest at A, t slides without friction through a thin curved tube with constant radius of curvature r = 70.0 cm. The cord stretches as the ball slides down the tube and follows the curvature of the surface, as indicated by the thick dashed line in the figure. Furthermore, the cord...
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 massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 14 cm below yi. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 12 cm below the...
. A mass is attached to a spring. The position of the mass as it oscillates on the spring is given by: y = A cos (8.2t) where the value of t is in seconds and A is 6.2 cm. (a) What is the period of the oscillator? (2 pts) (b) What is the velocity of the oscillator at time t = 0 and at time t = T/4? Give magnitude and direction (+ or – y direction). (4 pts)...
Chapter 15, Problem 037 A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 14 cm below y: (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
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 light spring has unstressed length 15.7 cm. It is described by Hooke's law with spring constant 4.31 N/m. One end of the horizontal spring is held on a fixed vertical axle, and the other end is attached to a puck of mass m that can move without friction over a horizontal surface. The puck is set into motion in a circle with a period of 1.43 s. (a) Find the extension of the spring x as it depends on...