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
Ch 26: Magnetic Fields and Forces
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

Oscillation Equations

See all sections
Intro to Springs
Intro to Oscillation
Oscillation Equations
Energy in Oscillation
Vertical Oscillation
Simple Pendulum

Example #2

Additional Problems
Plot the following oscillation on a position vs. time graph: x(t) = (1.3 cm) cos((1.2 ms-1)t + 2.3)
A 250 g mass on a spring oscillates with the following equation: x(t) = (2.8 cm) cos((3.4 s-1)t) What is the spring constant of this spring?
A mass undergoes a sinusoidal oscillation with a frequency of 50 Hz and an amplitude of 7.8 cm. At a time t = 1 s, the position of the mass is x(t) = 5 cm. Write an equation to describe the positon of the mass as a function of time.
An object executing simple harmonic motion has a maximum speed of 4.3m/s and maximum acceleration of 0.65m/s2. Find the period of this motion. (A) 0.151 s (B) 6.6 s (C) 1.05 s (D) 42 s (E) None of these
The position of a mass that is oscillating on a spring is given by x = (17.4 cm) cos[(5.46 s-1)t]. What is the angular frequency for this motion? [A] 0.183 rad/s [B] 5.46 rad/s [C] 17.4 rad/s [D] 0.869 rad/s
A simple harmonic oscillator has amplitude 0.72 m and period 2.2 sec. What is the maximum acceleration? A. 0.934689 m/s2 B. 0.327273 m/s2 C. 5.87282 m/s2  D. 0.14876 m/s2 E. 12.9202 m/s2 F. 2.93641 m/s2
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. How long does it take the block to move from x = A to x = 0?
A mass is oscillating on a spring with a period of 4.60 s. At t =0 s the mass has zero speed and is at x = 8.30 cm. What is its acceleration at t = 2.50 s? (radians!) a) 1.33 cm/s2 b) 0.784 cm/s2 c) 11.5 cm/s2 d) 14.9 cm/s2 e) 0