17. Periodic Motion

Energy in Simple Harmonic Motion

Energy In a Simple Harmonic Oscillator - Maximum Velocity & Acceleration Calculations

Example

A block of mass 0.300 kg is attached to a spring. At x = 0.240 m, its acceleration is ax= -12.0 m/s2 and its velocity is vx=4.00 m/s. What are the system’s (a) force constant k and (b) amplitude of 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 (b) the speed of the glider when it is at x = -0.015 m.

Total Mechanical Energy in Simple Harmonic Motion

Energy and Simple Harmonic Motion

A cheerleader waves her pom-pom in SHM with an amplitude of 18.0 cm and a frequency of 0.850 Hz. Find (a) the maximum magnitude of the acceleration and of the velocity; (b) the acceleration and speed when the pom-pom’s coordinate is x = +9.0 cm; (c) the time required to move from the equilibrium position directly to a point 12.0 cm away. (d) Which of the quantities asked for in parts (a), (b), and (c) can be found by using the energy approach used in Section 14.3, and which cannot? Explain.

Simple Harmonic Motion (13 of 16): Kinetic & Potential Energy, An Explanation

Energy of Simple Harmonic Oscillators | Doc Physics

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 (e) the total mechanical energy of the glider at any point in its motion

Energy in simple harmonic motion

A thrill-seeking cat with mass 4.00 kg is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM. The amplitude is 0.050 m, and at the highest point of the motion the spring has its natural unstretched length. Calculate the elastic potential energy of the spring (take it to be zero for the unstretched spring), the kinetic energy of the cat, the gravitational potential energy of the system relative to the lowest point of the motion, and the sum of these three energies when the cat is (a) at its highest point.

A mass is oscillating with amplitude A at the end of a spring. How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals the kinetic energy?

Anderson Video - Energy in Simple Harmonic Motion

For the oscillating object in Fig. E14.4 <img src="https://lightcat-files.s3.amazonaws.com/problem_images/13b22afbe73659ba-1671728160050.jpg" alt="" />, what is (a) its maximum speed?<img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/1c2894c5de092f49-1678284935128.jpg" style="width: 300px;">

A small block is attached to an ideal spring and is moving in SHM on a horizontal frictionless surface. The amplitude of the motion is 0.165 m. The maximum speed of the block is 3.90 m/s. What is the maximum magnitude of the acceleration of the block?

For the oscillating object in Fig. E14.4 <img src="https://lightcat-files.s3.amazonaws.com/problem_images/210584387c9fc383-1671728639736.jpg" alt="" />, what is (b) its maximum acceleration?<img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/96aae59e462ecff6-1678284932987.jpg" style="width: 300px;">

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