A 0.45 kg mass is resting on a vertically oscillating platform. The platform undergoes simple harmonic motion. The displacement-time graph of the platform’s motion is shown in the figure. t2= [t2] s. Determine the maximum oscillation amplitude that allows the mass to stay in contact with the platform at all times. [Hint: the supporting (normal) force becomes zero when the mass is about to lose contact with the platform. Consider that the maximum force in SHM is Fmax = m × amax.]

 A [L] m long string of a musical instrument has a mass of [m] kg. When the string resonates, it forms a standing wave. The figure shows a snapshot of the standing wave at t = 0. The resulting sound wave in the surrounding air has a wavelength of [lamda] m. Calculate the tension in the string (in Newtons) required to sustain this vibration. The speed of sound wave in air is 340 m/s.

A 2.2 kg mass is attached to a horizontal, massless, ideal spring with a spring constant of 30 N/m. The system undergoes simple harmonic motion, and its velocity-time graph is shown in the figure. v0 = [v0] m/s and t2= [t2] s. Determine the amplitude (A) of oscillation in meters.

A solid cube with a side length of [L] m is completely submerged in an oil-filled container and suspended from a scale by a cable. The density of the cube is [rho2] kg/m³, and the density of the oil is [rho1] kg/m³. What is the reading on the scale (apparent weight) when the cube is fully submerged in the oil? Express your answer in newtons (N).

What emotion primarily drove Douglass’s desire to learn how to read?

What major realization did Douglass have as a child regarding slavery?

What was Douglass’s ultimate feeling towards the institution of slavery?

How did Douglass characterize the institutional religion among slaveholders?

What did Douglass reflect on the concept of holidays given to slaves?

What role did literacy play according to Douglass?