A 0.500-kg glider, attached to the end of an ideal spring with force constant k = 450 N/m, undergoes SHM with an amplitude of 0.040 m. Compute (a) the maximum speed of the glider; (b) the speed of the glider when it is at x = −0.015 m; (c) the magnitude of the maximum acceleration of the glider; (d) the acceleration of the glider at x = −0.015 m; (e) the total mechanical energy of the glider at any point in its motion.
A 0.500-kg glider, attached to the end of an ideal spring with force constant k = 450 N/m, undergoes SHM with an amplitude of 0.040 m. Compute (a) the maximum speed of the glider; (b) the speed of the glider when it is at x = −0.015 m; (c) the magnitude of the maximum acceleration of the glider; (d) the acceleration of the glider at x = −0.015 m; (e) the total mechanical energy of the glider at any point in its motion.
A 0.500-kg glider, attached to the end of an ideal spring with force constant k = 450 N/m, undergoes SHM with an amplitude of 0.040 m. Compute (a) the maximum speed of the glider; (b) the speed of the glider when it is at x = −0.015 m; (c) the magnitude of the maximum acceleration of the glider; (d) the acceleration of the glider at x = −0.015 m; (e) the total mechanical energy of the glider at any point in its motion.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
A metal sphere with a mass 7.00 kg is connected to a spring with a force constant of 200 N/m, and it oscillates horizontally with an amplitude of 2.20 cm.
(a) What is the total mechanical energy (in J) of the sphere-spring system?
(b) What is the maximum speed (in m/s) of the oscillating sphere?
m/s
(c) What is the maximum magnitude of acceleration (in m/s2) of the oscillating sphere?
m/s²
A glider of mass 0.400 kg is placed on a frictionless, horizontal air track. One end of a horizontal spring is attached to the glider, and the other end is attached to the end of the track. When released, the glider oscillates in SHM with frequency 4.15 Hz. (a) Find the period and angular frequency of the motion. (b) Find the force constant k of the spring. (c) Find the magnitude of the force that the spring exerts on the glider when the spring is stretched by 0.0200 m.
An apple weighs 1.18 N. When you hang it from the end of a long spring of force constant 1.59 N/m and negligible mass, it bounces up and down in SHM. If you stop the bouncing and let the apple swing from side to side through a small angle, the frequency of this simple pendulum is half the bounce frequency. (Because the angle is small, the back and forth swings do not cause any appreciable change in the length of the spring.)
What is the unstretched length of the spring (with the apple removed)?
Express your answer with the appropriate units.
Chapter 14 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
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