No Knowledge Points Yet
Knowledge points for this tag are currently being developed.
Browse Problems
37 problems tagged with Simple harmonic oscillation
P0677
Intermediate Mechanics › Oscillations and WavesPeriod Minimization of a Rectangular Pendulum
A rectangular block, with face lengths $a = 35$ cm and $b = 45$ cm, is suspended on a thin horizontal rod running through a narrow hole in the block. The block swings about the rod like a physical pendulum. The hole is at a distance $r$ from the block's center, along a line connecting the center with a corner.
- Plot the period versus distance $r$ along that line such that the minimum in the curve is apparent.
- For what value of $r$ does that minimum occur?
- There is a line of points around the block's center for which the period of swinging has the same minimum value. What shape does that line make?
P0678
Intermediate Mechanics › Oscillations and WavesSwinging Rod as a Physical Pendulum
A thin uniform rod (mass = 0.50 kg) swings about an axis that passes through one end of the rod and is perpendicular to the plane of the swing. The rod swings with a period of 1.5 s and an angular amplitude of 10°.
- What is the length of the rod?
- What is the maximum kinetic energy of the rod as it swings?
P0679
Intermediate Mechanics › Oscillations and WavesMinimizing a Physical Pendulum's Period
A stick of length L = 1.85 m oscillates as a physical pendulum. The pivot point O is a distance x from the stick's center of mass.
- What value of distance x gives the least period?
- What is that least period?
P0680
Intermediate Mechanics › Oscillations and WavesTorsional Oscillation of a Spring-Coupled Cube
A 3.00 kg cube with edge lengths d = 6.00 cm is mounted on an axle through its center. A spring (k = 1200 N/m) connects the cube's upper corner to a rigid wall. Initially, the spring is horizontal and at its rest length. The cube is then rotated 3° and released.
P0681
Intermediate Mechanics › Oscillations and WavesOscillation of a Spring-Coupled Rod
An overhead view shows a long uniform rod of mass 0.600 kg free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant k = 1850 N/m is connected horizontally between one end of the rod and a fixed wall. In equilibrium, the rod is parallel to the wall, and the spring is perpendicular to the rod.
P0682
Intermediate Mechanics › Oscillations and WavesMinimum Period of a Pivoted Rod
A pendulum is formed by pivoting a long thin rod about a point on the rod. In a series of experiments, the period is measured as a function of the distance $x$ between the pivot point and the rod's center. The rod's length is $L = 2.20$ m and its mass is $m = 22.1$ g.
- What is the minimum period?
- If $x$ is chosen to minimize the period and then $L$ is increased, does the period increase, decrease, or remain the same?
- If, instead, $m$ is increased without $L$ increasing, does the period increase, decrease, or remain the same?
P0683
Intermediate Mechanics › Oscillations and WavesPhysical Pendulum with a Torsion Spring
A 2.50 kg disk of diameter $D = 42.0$ cm is supported by a rod of length $L = 76.0$ cm and negligible mass that is pivoted at its end.
- With the massless torsion spring unconnected, what is the period of oscillation?
- With the torsion spring connected, the rod is vertical at equilibrium. What is the torsion constant of the spring if the period of oscillation has been decreased by 0.500 s?
P0686
Intermediate Mechanics › Oscillations and WavesAngular Frequency of an Oscillating Wheel
A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance $r$ from the axle, as shown in the figure.
- Assuming that the wheel is a hoop of mass $m$ and radius $R$, what is the angular frequency $\omega$ of small oscillations of this system in terms of $m, R, r,$ and the spring constant $k$?
- What is $\omega$ if $r=R$?
- What is $\omega$ if $r=0$?
P0687
Beginner Mechanics › Oscillations and WavesVibrating Stone on a Vertical Spring
A stone of mass $m$ is attached to the bottom of a vertical spring and set vibrating. If the maximum speed of the stone is $v_{max}$ and the period is $T$, find the following.
- The spring constant of the spring.
- The amplitude of the motion.
- The frequency of oscillation.
P0688
Beginner Mechanics › Oscillations and WavesBlock-Spring Oscillator Period and Frequency
An oscillating block-spring system takes 0.75 s to begin repeating its motion.
- Find the period.
- Find the frequency in hertz.
- Find the angular frequency in radians per second.
Practice by Difficulty
Practice all Simple Harmonic Oscillation problems by difficulty level
Problem Sets
No problem sets available for Simple Harmonic Oscillation.