Oscillations in AP Physics C: Mechanics
If a spring obeys Hooke's law and has a spring constant , what effect would halving and doubling the amplitude of oscillation have on the period of simple harmonic motion?
The period would decrease by a factor of .
There would be no change in the period.
The period would increase by a factor of .
The period would double.
Which quantity must be zero for an object at the highest point during vertical oscillation on an ideal spring?
Kinetic energy
Spring constant
Potential energy
Total mechanical energy
Which one of the following quantities is not a vector quantity in the context of mechanics?
Acceleration
Velocity
Speeds
Displacement
What would be a change in a pendulum's period if you were to double its length but keep everything else constant?
It would decrease by half.
It would increase by a factor of .
It would double.
It would remain unchanged.
A pendulum with length L is released from an angle with respect to the vertical; if is doubled, but all other conditions remain the same, what happens to the maximum speed of the pendulum at the lowest point in its swing?
It remains unchanged.
It halves.
It doubles.
It quadruples.
Which of these describes the motion of an ideal pendulum at its lowest point?
Maximum potential energy and minimum kinetic energy.
Zero kinetic energy and maximum potential energy.
Equal potential and kinetic energy.
Maximum kinetic energy and zero potential energy.
A pendulum bob swinging through its lowest point exhibits both translational and rotational motion; if it has linear speed , mass , radius from pivot point to center of mass, and moment of inertia about its center of mass, what is its total kinetic energy?
Total KE =
Total KE =
Total KE =
Total KE =

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For an object oscillating on a frictionless horizontal surface attached to an ideal spring with force constant , which pair correctly relates linear analogs to their rotational counterparts?
Potential Energy Elastic Potential Energy
Linear Force Torque
Kinetic Energy Rotational Kinetic Energy
Linear Momentum Angular Momentum
What force is responsible for the periodic motion of a mass on a spring?
Gravitational force
Centripetal force
Restoring force
Frictional force
When comparing a simple pendulum’s period at Earth’s surface to its period on a Moon base where gravity is weaker, assuming length is unchanged, how does this setting alter its periodic time?
The period increases because it is proportional to where is reduced on the moon.
There’s insufficient information unless pendulum bob mass comparison between Earth and Moon scenarios exists.
The period stays consistent due to pendulum length constancy negating gravitational change effects.
The period decreases in direct proportion with gravity's strength reduction ratio from Earth to Moon.