A ball is in equilibrium inside a frictionless well, as shown below.

When the ball is displaced from its initial position, what will be the type of motion?

Which of the below lengths of pendulums will have a period of $1.4\ s$?

(Use $g = 10\ m/s^2$)

A spring is stretched by $1\ cm$ using a block of mass $2\ kg$ to make a simple harmonic oscillator. The spring constant is $32\ N/m$. Which of the below graphs correctly shows the displacement of the block?

A mass of $3.5\ kg$ is attached to a spring of constant $30\ N/m$. The spring is then pushed from its equilibrium position by $3.5\ cm$. What will be the velocity of the mass when it is $1\ cm$ away from its equilibrium position?

Luis draws the graph of maximum potential energy $PE_{max}$ as a function of spring constant $k$ for a spring-mass harmonic oscillator.

Which of the below quantities are correctly calculated from the graph?

Choose two correct answers:

A simple pendulum is used to measure the gravitational field strength on the surface of another planet. The time period of a pendulum of length $1\ m$ is $2.8\ s$ on the planet. By what factor is the gravitational field lesser on the planet as compared to Earth?

Tyler sets up the below apparatus to find the spring constant $k$ of the spring.

Also, he uses a stopwatch and a weighing scale to measure the time period of one oscillation and the mass of each block attached to the spring. He performs the experiment at least 5 times with each available block of mass $m$ and calculates $k$ for each $m$ and $T$.

Which of the following most likely represents Tyler’s observation?

Two waves (sine or cosine) are said to be in phase when they increase or decrease together at all times. When one wave increases and the other decreases at all times, they are said to be out of phase. Identify which of the below statements regarding Simple Harmonic Motion are correct.

Which of the options below represents the magnitude of velocities in increasing order if the graph below shows the potential energy of the particle performing simple harmonic motion?

A block attached to a vertical spring extends it by $6\ cm$. The mass of the block is $1\ kg$. If this system is then rotated into a horizontal plane, what is the frequency of oscillations?