This exam asesses course standards 32–45. If you can do the tasks described below, you will satisfy the standards on the exam.
Given a force vector, its point of aplication, and a regerence position (axis), calculate the resulting torque vector.
From the direction of a torque vector, identify the direction the torque would rotate an initially stationary object.
Given all but one of the forces acting on a body in mechanical equilibrium, find the unknown force.
Given sufficient partial information about the forces on a body in mechanical equilibrium and their lines of action, fully characterize the forces.
Given the forces acting on a body and their lines of action, find the net torque,
Given two, find the third: net torque, moment of inertia, angular acceleration.
Find the center-of-mass moment of inertia of a symmetrical body using a formula from a table.
Given a body comprising elements with known moments of inertia, find the moment of inertia of the body.
Given a body's center-of-mass moment of inertia and the distance of its center of mass from a parallel axis, find the body's moment of inertia about the parallel axis.
Given a body's moment of inertia and angular velocity, find its rotational kinetic energy.
Given a rigid body's mass, speed, center-of-mass moment of inertia, and its angular speed, find its total kinetic energy.
Identify when a body's angular momentum is given by r × p.
Given a rigid body's moment of inertia and angular velocity, find its angular momentum.
Identify when a body's moment of inertia changes form redistribution of mass.
Identify when a body's angular momentum changes or remains constant.
Determine the total angular momentum of a system comprising multiple objects.
Given three, find the fourth: Initial and final moment of inertia, initial and final angular velocity.
Given one, find the others: period, frequency, angular frequency.
Given two, find the third: spring constant, mass, angular frequency.
Given two, find the third: oscillation amplitude, maximum speed, angular frequency.
Given an oscillator's amplitude, angular frequency, and phase, find the equations for its position (displacement), velocity, and acceleration at any time.
Identify displacement, velocity, acceleration, kinetic energy, and elastic potential energy at different parts of an oscillation cycle.
Given two, find the third: length density (mass per length), tension, propagation speed of a transverse string wave.
Given two, find the third: propagation speed, wavelength, frequency.
Given one, find the other: wavelength, angular wavenumber.
Identify the patterns, wavelengths, and frequencies of transverse standing waves in a clamped string.
Given one, find the other: node spacing, wavelength.
Given one, find the other: frequency difference, beat frequency.
Convert between sound intensity in W/m2 and in decibels.
Given sound intensity and the distance from the source, find the source power.
Given the sound intensity at one distance from the source, find the intensity at another distance.
Given four, find the fifth: speed of sound, source frequency, detector frequency, source velocity, detector velocity.
State the small angle approximation and explain why it is valid for small angles.
Explain why the small angle approximation is needed to predict the period of a pendulum.
Identify the quantities determining the angular frequency of a simple pendulum.
Given three, find the fourth: the masses of two interacting point masses, the distance between them, and their force of gravitational interaction.
Given two, find the third: gravitational field strength, mass of a body, and the force of gravity acting on it.
Given two, find the third: the mass of an attractor, the distance of a point from the attractor, and the gravitational field at that point.
Given the gravitational field at one distance form an attractor, find the gravitational field at another distance.
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