Simple harmonic motion Questions and Answers

A 7.0 kg box is attached to a spring that is compressed a distance of 0.5 meters. When the box is released from the spring, it moves to the right towards a 3 m tall hill. The spring constant is 550 N/m. Assume that there is no friction in the system. a. How much potential energy is stored in the spring while it is compressed? b. What is the kinetic energy (energía cinética) of the box right after being released from the spring?

A bird flaps its wings 3 times a second. What are the frequency and period of this motion? (F= 1/T and T = 1/f) * F = 5 Hz and T = .20 s F=3 Hz and T = .33 s F=1 Hz and 1.0 s None of the above

An ideal spring hangs vertically from the ceiling. The spring has a spring constant 29.5 N/m and an unstretched length of 0.240 m. An object with mass 0.25 kg is attached to the bottom of the spring. The spring stretches to a new length where the object reaches equilibrium. Question: What is the new length of the spring (in meters)?

A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0s, the mass is at x = 5.0 cm and has Vx -30 cm/s. Determine: a. The period. b. The angular frequency. c. The amplitude. d. The phase constant. e. The maximum speed. f. The maximum acceleration. g.The total energy. h. The position at t = 0.40 s.

Two stereo speakers are separated by 9.0 m. The speakers can be made to issue the same frequency note in phase. A listener stands at the midpoint of the line joining the speakers. She then takes a step of 0.75 m closer to one of the speakers. At this new position, f₁ is the lowest frequency where there is destructive interference and f2 is the lowest frequency where she would hear constructive interference. (The speed of sound in air is 340 m/s.) f₁ and f2 are: ( 226, 340 Hz 113, 67 HZ ( 113, 226 Hz 67, 170 Hz 170, 340 Hz

A 13.7 kg mass is suspended on a 1 x 10^5 N/m spring. The mass oscillates up and down from the equilibrium position yeq = 0 according to y(t) = A sin(wt + θ0). At time to=0 the mass is at 29.6 cm and moving upward at velocity +6.32 m/s.

A point on the string of a violin moves up and down in simple harmonic motion with an amplitude of 1.24 mm and a frequency of 875 Hz. (a) What is the maximum speed of that point in SI units? (b) What is the maximum acceleration of the point in SI units?

A mass-spring system oscillates with a period of 2.2 seconds. What would the system's period be if the mass (m) and spring constant (k) were both increased by a factor of 4 (quadrupled)? the period would remain the same O the period would be cut in half O the period would be doubled the period would be multiplied by four

You push your little sister on a swing and in 1.4 minutes you make 53 pushes. What is the frequency of your swing? Answer in units of Hz.

The original period of a simple pendulum is T. The length of the simple pendulum is then quadrupled and its mass is doubled. What is the new period of the simple pendulum in terms of T? (a) T (b) 27 (c) 4T (d) √2T

An ornament of mass 40.0 g is attached to a vertical ideal spring with a force constant (spring constant) of 20.0 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch? A. 0.0816 m B. 0.200 m C. 0.00200 m D. 0.0196 m E. 0.800 m

Which statement/s is/are correct about the relationship between frequency and length of a pendulum. (Choose all that apply) Select one or more: a. The longer the pendulum, the smaller the frequency. b.The longer the pendulum, the larger the frequency. c. The shorter the pendulum, the smaller the frequency. d. The shorter the pendulum, the larger the frequency.

Mass on a spring: An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the spring constant of the spring? 0.610 N/m 0.102 N/m 2.45 N/m 24.1 N/m 12.1 N/m

Energy in SHM: If we double only the mass of a vibrating ideal mass-and-spring system, the mechanical energy of the system A. increases by a factor of 2. B. increases by a factor of √2. C. increases by a factor of 4. D. does not change. E. increases by a factor of 3.

A 172 g ball is tied to a string. It is pulled to an angle of 6.2° and released to swing as a pendulum. A student with a stopwatch finds that 29 oscillations take 18 s. How long is the string?

A mass on a string of unknown length oscillates as a pendulum with a period of 6.9 s. Parts A to D are independent questions, each referring to the initial situation. Part C What is the period if the string length is halved?

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 kg of Italian ham. The slices of ham are weighed on a plate of mass 0.400 kg placed atop a vertical spring of negligible mass and force constant of 200 N/m. The slices of ham are dropped on the plate all at the same time from a height of 0.250 m. They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small. What is the period of oscillation T of the scale?

An air-track glider attached to a spring oscillates between the 14.0 cm mark and the 52.0 cm mark on the track. The glider completes 10.0 oscillations in 39.0 s. What is the angular frequency of the oscillations?

A spring is hanging from the ceiling. Attaching a 560 g physics book to the spring causes it to stretch 18 cm in order to come to equilibrium. What is the book's maximum speed?

A 1.40 kg block is attached to a spring with spring constant 15.0 N/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 42.0 cm/s. What are You may want to review (Pages 400-401). The block's speed at the point where x = 0.450 A? Express your answer with the appropriate units.

An object in SHM oscillates with a period of 4.0 s and an amplitude of 12 cm. How long does the object take to move from x = 0.0 cm to x = 6.8 cm.

Which statement best describes simple harmonic motion? An oscillation with a fixed period and fixed amplitude. An oscillation with a fixed period but changing amplitude. An oscillation that gets quicker and quicker. An oscillation that increase in amplitude over time.

A block attached to a spring with unknown spring constant oscillates with a period of 2.1 s. Parts A to D are independent questions, each referring to the initial situation. What is the period if the mass is doubled? Express your answer to two significant figures and include the appropriate units.

Which of the following is an example of uniform motion? A moving roller coaster car A moving Ferrari in a Formula 1 race A cruising aircraft with different velocity An oscillating pendulum clock

Suppose that a 23.1-kilogram mass is mounted on the end of a horizontal ideal massless spring with stiffness 511 N/m. Ignore all friction. If the mass is initially released from rest when the spring is stretched to an initial displacement of 6.57 centimeters away from its equilibrium position, what will be the mass's greatest speed (in meters/second) during the subsequent natural oscillations?

For the background of a dramatic theater set, the crew want to build a giant pendulum that will have a natural period of 5.4 seconds. Assuming an ideal simple pendulum with small-angle oscillations and no friction, how long should the pendulum be, in meters?

When an object moves along X axis under the action of force F = -kx it is said to be performing simple harmonic oscillatory motion about x=0 as mean position (here x is its x coordinate and k is a positive constant). Total energy of oscillation is equal to KA²/2 (Assume potential energy to be zero at mean position. Here A is amplitude of oscillation) If energy of oscillation is 18 J, between which points does the block will oscillate? A. between x = 0 and x = 4 m B. between x = -1m and x = 5 m C. between x = -2m and x = 6m D. between x = 1m and x = 3m

A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 80, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. Let y = 0 at the lowest point of the swing. At which position(s) does the mass possess its greatest potential energy? Select ALL that apply: Partial credit is NOT allowed for this question. A. P B. Q C. R D. S E. None of the four labeled positions.

A 500.-g mass is attached to the end of an ideal, massless spring with constant 8.50 N/m, as shown. (These values are similar to those used in PHYS 151L Lab spring experiments.) The mass is initially displaced to the right of the spring's equilibrium position by a distance of 6.00 cm, then released at t= 0 and allowed to oscillate freely. For the following questions: • Define the +x-direction for all quantities to be to the right. Each of the following answers may be POSITIVE or NEGATIVE! • Define x = 0 at the spring's equilibrium position. • Neglect all friction. What is the x-component of the mass's velocity 7.10 seconds after it is released? Convert your final answer to meters/second: • Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. • Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect.

A mass mis attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. Suppose the above system is oscillating with an amplitude of 6.7 centimeters, and has a spring with constant 18 N/m. (Laulima will provide you randomized numerical values for amplitude and spring constant.) What is the total mechanical energy of the system? Convert your final answer to millijoules: Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect.

Two parakeets sit on a swing with their combined center of mass 9.94 cm below the pivot. At t = Os the parakeets are at their maximum backwards position. At what time, in seconds, do the parakeets first reach their maximum forward position?

A pendulum consists of a rod of mass 2 kg and length 1.0 m with a solid sphere at one end with mass 0.3 kg and radius 20 cm (see figure). If the pendulum is released from rest at an angle of 30°, calculate the angular velocity at the lowest point.