Refer to Conceptual Example 2 as an aid in solving this problem.
A 120 coil spring has a spring constant of 412 N/m. It is cut into
4 shorter springs, each of which has 30 coils. One end of a 30 coil
spring is attached to a wall. An object of mass 43 kg is attached
to the other end of the spring, and the system is set into
horizontal oscillation. What is the angular frequency of the
motion?
rad/s
Refer to Conceptual Example 2 as an aid in solving this problem. A 120 coil spring...
A person who weighs 800 N steps onto a spring scale in the bathroom, and the spring compresses by 0.68 cm. What is the spring constant? N/m What is the weight of another person who compresses the spring by 0.29 cm? N -/1 pomtiC19 10 P.010 Recall that the spring constant is inversely proportional to the number of coils In the spring, or that shorter springs equate to stiffer springs. An object is attached to the lower end of a...
One end of a light spring with force constant 290 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass Mi the shape of a solid disk of radius R = 1.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...
One end of a light spring with force constant 240 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass M in the shape of a solid disk of radius R 2.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...
A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall whle the other end is connected to a movable object. The spring and object are compressed by 0.082 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.9 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.041 m relative to its unstrained length? _______ m/s
Review Conceptual Example 3 and the drawing as an aid in solving this problem. A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.1 m/s perpendicular to a 0.47-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and has a length of 1.6 m. A 0.98- resistor is attached between the tops of the tracks. Find the change in...
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...
2) An 0.80-kg object is attached to one end of a spring and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing. With the aid of these data, determine (a) the amplitude A of the motion, (b) the angular frequency o , (c) the spring constant k, (d) the speed of the object at t = 1.0 s, and (e) the magnitude of the object's...
A 600-g object is attached to a spring with a force constant of 2.4 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15 cm to the right of the equilibrium position and set into harmonic motion. After 3 s, the amplitude has fallen to 7 cm due to frictional losses in the oil. Calculate the following. a. The natural frequency of the system b. The 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...