Physics Harmonic Motion

Which of the following is/ are characteristics of simple harmonic motion?

I. The acceleration is constant .

II. The restoring force is proportional to the displacement.

III. The frequency is independent of the amplitude.

• II only

• I and II only

• I and III only

• II and III only

• I, II, and III

What combination of values will result in a spring - block system with the greatest frequency?

• A = 50 cm; k = 80 N/m; m = 2 kg

• A = 50 cm; k = 100 N/m; m = 2 kg

• A = 50 cm; k = 100 N/m; m = 4 kg

• A = 75 cm; k = 80 N/m; m = 2kg

• A = 75 cm; k = 100 N/m; m = 4 kg

A block attached to an ideal spring undergoes simple harmonic motion about its equilibrium position (x = 0) with amplitude A. What fraction of the total energy is in the form of kinetic energy when the block is at position

(x =1/2 A)?

• 1/3

• 3/8

• 1/2

• 2/3

• 3/4

A linear spring of force constant k is used in physics lab experiment. A block of mass m is attached to the spring and the resulting frequency, f, of the simple harmonic oscillation is measured. Blocks of various masses are used in different trials, and in each case, the corresponding frequency is measured and recorded. If f² is plotted versus 1/m, the graph will be a straight line with slope

• 4π²/k²

• 4π²/k

• (4π)(2k)

• k/4π²

• k²/4π²

A simple pendulum swings about the vertical equilibrium position with a maximum angular displacement of 5^o and period T. If the same pendulum is given a maximum angular displacement of 10^o, then which of the following best gives the period of the oscillations?

• T/2

• T/√2

• T

• T√2

• 2T

A mass of 200. g stretches a spring 10.0 cm. The spring is then stretched an additional 5.00 cm and released. Determine the max velocity.

• 0.495 m/s

• 0.248 m/s

• 0.371 m/s

• 0.742 m/s

Tags

NGSS.HS-PS2-1

NGSS.HS-PS3-1

The period of a simple pendulum is 2.00 sec. Find the length of the pendulum.

• 1.99 m

• 0.632 m

• 0.993 m

• 1.41 m

A student measures the maximum speed of a block undergoing simple harmonic oscillations of amplitude A on the end of an ideal spring. If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same, then the maximum speed of the block will

• decrease by a factor of 4

• decrease by a factor of 2

• decrease by a factor of √2

• remain the same

• increase by a factor of 2

A spring with a natural length 40 cm and a spring constant of 400 N/m is hung vertically with a 10 kg mass attached to the end. Assuming the spring's mass is negligible, what will be the final length of the spring when it reaches equilibrium?

• 25 cm

• 35 cm

• 40 cm

• 50 cm

• 65 cm

Tags

NGSS.HS-PS2-1

A force of  30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?

• 41 N/m
• 22 N/m
• 34 N/m
• 46 N/m