Ch 15: Periodic Motion (Oscillations)See all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
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Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Energy in Oscillation

See all sections
Sections
Intro to Springs
Intro to Oscillation
Oscillation Equations
Energy in Oscillation
Vertical Oscillation
Simple Pendulum
Additional Problems
A block with mass 4.0 kg is attached to a horizontal spring and moves in simple harmonic motion. The force constant of the spring is 200 N/m. At t = 0 the object is 0.10 m to the right of its equilibrium position and is moving to the left with a speed of 0.80 m/s. During its motion, what is the maximum speed of the block?
A block with mass 5.0 kg moves on a horizontal frictionless surface. The block is attached to a horizontal spring that has force constant 90 N/m. As the block moves in simple harmonic motion, its maximum speed is v = 3.0 m/s. What is the magnitude of the maximum acceleration of the block during its motion?
A block with mass 0.80 kg moves on a horizontal frictionless surface. The block is attached to one end of a horizontal spring and the other end of the spring is attached to the wall. When the block is at x = +0.30 m, its speed is 6.0 m/s and the magnitude of its acceleration is 12.0 m/s2. What is the maximum value for the acceleration of the block during its motion and at what value of x does this occur? amax =  x = 
A 5 kg mass oscillates on a spring with a total energy of 100 J.  (a) What is the maximum speed of the mass? (b) What is the amplitude of the oscillations if the spring constant is 0.8 kN/m?
A 1.5 kg mass oscillates on a spring with an amplitude of 15 cm. At what position does the kinetic energy equal the potential energy? How many times during a single period does this occur?
A 150 g mass is at rest attached to an unstretched, 150 N/m spring. If the spring is stretched to 15 cm an let go, (a) What is the amplitude of the oscillation? (b) The maximum potential energy of the mass? (c) The maximum kinetic energy of the mass?
A 0.7 kN/m spring has an elastic limit of 10 cm, meaning if it is stretched or compressed further than this, it will lose its elasticity. A 50 g mass with this spring attached to it is dropped from some height so the when it hits the ground, the spring is vertical and underneath the mass, allowing compression of the spring. What is the maximum height you can drop the mass from and not break the spring?
A vertical spring has a mass hanging from it, which is displaced from the equilibrium position and begins to oscillate. At what point does the system have the least potential energy?(A) at the highest point(B) at one-fourth of the distance between the highest point and lowest point(C) at the lowest point(D) at the point where the spring is unstretched(E) at the equilibrium point
A 39.3 g mass is attached to a horizontal spring with a spring constant of 8.62 N/m and released from rest with an amplitude of 34.6 cm.What is the speed of the mass when it is halfway to the equilibrium position if the surface is frictionless? A. 2.93522B. 5.80081C. 3.41751D. 2.26646E. 9.3472F. 4.23824G. 2.7086H. 4.7789I. 4.43776J. 2.64816
A string is attached to a light rod with a 1 cm radius on a disk, as shown in the figure below. If the rod spins in one direction, the string will wind around it. If it spins in the opposite direction, the string unwinds. If the string is attached at the opposite end to a 100 N/m spring, initially unstretched, and the rod is twisted for 2 revolutions, what is the maximum angular speed of the disk will have after the rod is let go? The disk has a mass of 10 kg and a radius of 10 cm.
A spring is compressed from its natural length of 5 cm to 3 cm. What will the maximum length of the spring be if no energy is lost and the force constant is the same for compression as it is for stretching? What is the maximum length of the spring if the force constant for compression is 100 N/m but 50 N/m for stretching?