Springs and Pendulums by Jared Rovny, PhD

Name: Springs and Pendulums
Uploaded: 2016-12-16
Duration: 8 min 28 s
Description: The lecture Springs and Pendulums by Jared Rovny, PhD is from the course Periodic Motion.

About the Lecture

The lecture Springs and Pendulums by Jared Rovny, PhD is from the course Periodic Motion.

Included Quiz Questions

An object is oscillating with a spring. What is the relation between the direction of displacement of the object from equilibrium and the direction of the force applied by the spring on the object?

They are in the opposite direction
They are in the same direction
The displacement can be positive or negative but the force is always positive
The displacement can be positive or negative but the force is always negative
The force is 0 when the displacement is at its maximum in the positive or negative direction

Which of the following is true about an object oscillating on a spring when it is at its maximum amplitude?

Its velocity is zero
Its velocity is maximized
Its direction of motion is away from equilibrium
Its direction of motion is towards equilibrium
The object at its maximum amplitude is stationary hence the net force on the object is zero

How will the frequency of spring oscillations change if the spring constant is quadrupled?

The frequency will double
The frequency will halve
The frequency will quadruple
The frequency will quarter
The frequency will remain the same

What is the relationship between frequency f and period P in a periodic motion?

f = 1/P
f = 2π / P
f = P / 2π
f = 2πP
f = P

A mass m attached to a spring with constant k, is undergoing a periodic motion with a maximum amplitude of A. With knowing the displacement x from equilibrium, how is the speed of mass m determined?

Using the conservation of energy relation: kA²/2 = kx²/2 + mv²/2
Using conservation of momentum
Using the relation: kA²/2 = mV²/2 , with V being the maximum velocity of motion
With knowing the acceleration a = kx/m and the time of motion t, v can be determined by v = at + v₀ . v₀ is the initial speed which is zero.
Using the relation: x = v²/2a, with the acceleration a given by a = kx/m