Slide 1 / 37 Slide 2 / 37 AP Physics C Simple Harmonic Motion Multiple Choice www.njctl.org Slide 3 / 37 Slide 4 / 37 1 What is the period of an object? 2 What is frequency? A The time it takes for an object to complete A The time it takes for an object to complete one cycle one cycle How many times the object passes a specific How many times the object passes a specific B B point every point every second second The number of revolutions that an object The number of revolutions that an object C C completes in a given amount of time completes in a unit of time How long it takes to make 2 complete How long it takes to make 2 complete D oscillations or D oscillations or revolutions revolutions E The traveled distance in one cycle Slide 5 / 37 Slide 6 / 37 3 What is the period of an object that completes 5 4 What is the frequency of an object that completes oscillations in 30 seconds? 64 oscillations in 16 seconds? A 16/64 Hz A 5/30 s 5 s 4 Hz B B 6 s 16 Hz C C 30 s 64 Hz D D 150 s 1024 Hz E E
Slide 7 / 37 Slide 8 / 37 5 If an object has a frequency of .25 Hz, what is its 6 If an object has a period of 8 s, what is its period? frequency? 1 s .0625 Hz A A B 2 s B .125 Hz C 4 s C .25 Hz .5 s .5 Hz D D .25 s .75 Hz E E Slide 9 / 37 Slide 10 / 37 7 What is the term for the maximum displacement in 8 An ideal spring has a spring constant K. If the Simple Harmonic Motion? spring was cut in half, what would be the spring constant of one of the halves? The Amplitude K/4 A A The Cycle K/2 B B The Period K C C D The Frequency D 2K The Equilibrium Point 4K E E Slide 11 / 37 Slide 12 / 37 9 For Questions 9-10: A 2 kg block is hanging from an un- 10 For Questions 9-10: A 2 kg block is hanging from an stretched spring with a spring constant of 50 N/m. unstretched spring with a spring constant of 50 N/m. When will the object complete ¼ of a full cycle? What is the amplitude of the object's oscillations? A .04 m A .40 cm B 40 cm C B D 4 m C 40 m E D E
Slide 13 / 37 Slide 14 / 37 12 For Questions 12-13 11 A spring on the earth is sent into Simple Harmonic An object is undergoing Simple Harmonic Motion and Motion and has a period T. If that same spring is brought to another planet with 1/5 the surface its position is given by x = 2 cos (5t). gravity, what will be the new period? What is the amplitude of the object's motion? T/25 A /4 A T/5 B /2 B T C C 2T/5 D D 2 E 5T 4 E Slide 15 / 37 Slide 16 / 37 13 For Questions 12-13 14 For Questions 14-16 An object is undergoing Simple Harmonic Motion Use the graph below. and its position is given by x = 2 cos (5t). What is the equation for the position of the object? At which of these points in time is the object at its amplitude? A 0 s A / 10 s B B / 8 s C C / 4 s D E / 2 s D E Slide 17 / 37 Slide 18 / 37 15 For Questions 14-16 16 For Questions 14-16 Use the graph below. Use the graph below. What is the equation for the velocity of the object? What is the equation for the acceleration of the object? A A B B C C D E D E
Slide 19 / 37 Slide 20 / 37 17 For Questions 17-19 18 For Questions 17-19 A block with a mass of 4 kg is attached to a horizontal A block with a mass of 4 kg is attached to a horizontal spring whose value of k is 64 N/m. The spring whose value of k is 64 N/m. The block is block is displaced 50cm from its initial position. displaced 50cm from its initial position. What is the maximum velocity the block reaches? What is the total amount of energy stored in the spring? A A 16 J 2 m/s B B 8 J C 32 J C D 4 m/s 2 J D 6 m/s E 4 J E Slide 21 / 37 Slide 22 / 37 19 For Questions 17-19 20 For Questions 20-23 A block with a mass of 4 kg is attached to a A ball is attached to a string of length L and is held at horizontal spring whose value of k is 64 N/m. The an angle #. The ball is then released. block is displaced 50cm from its initial position. What is the objects potential energy in terms of m, g, What is the period of this objects oscillation? and L? A A B B C C D D E E Slide 23 / 37 Slide 24 / 37 22 For Questions 20-23 A ball is attached to a string of length L and is held at an angle #. The ball is then released. Which graph below shows the change in the Gravitational Potential energy? (The origin is the lowest point in the objects swing) A C B D E
Slide 25 / 37 Slide 26 / 37 23 For Questions 20-23 24 What would happen to the period of a pendulum if A ball is attached to a string of length L and is held the object were to be moved to another planet with at an angle #. The ball is then released. less gravity? What is the period of the pendulum? Nothing A A Period increases B Period Decreases C B Not enough information is given D C D E Slide 27 / 37 Slide 28 / 37 25 A spring of initial length L o supports a mass of 26 A pendulum of length L has a period T. What would weight m which extends the spring a distance x. If have to be done to the length in order to make the the spring were cut in half and both parts were used new period T/3? to hold up the mass in parallel what would be the new x? 9L A 3L B L o /2 x/4 A L/3 C x/2 B L o m L/9 D x C m/9 E 2x D m 4x E Slide 29 / 37 Slide 30 / 37 27 An object of mass 5 kg is pivoted about point P which is 25cm away from its center of gravity. The object has a moment of inertia of 50 kg/m 2 and is on the surface of the Earth. What is the physical pendulum’s period? A B C D E
Slide 31 / 37 Slide 32 / 37 29 In a horizontal mass spring system, the maximum 30 For a simple pendulum the total energy displacement is x. When is the velocity the greatest? A decreases as the object falls increases as the object rises B x A remains the same C –x B is always zero D 0 C E not enough information is given x/2 D –x/2 E Slide 33 / 37 Slide 34 / 37 31 In experiment with mass-spring oscillating system, measurements of the period are made for different masses. When plotted on a graph, which of the following should result straight-line fit of the measured data? A T Versus m B T Versus m 2 C T 2 Versus m D √T Versus m E √T Versus m 2 Slide 35 / 37 Slide 36 / 37 33 Spring -mass oscillating system undergoes SHM with the 34 A small mass is suspended at the end of a light string of amplitude A. At what location from the equilibrium point the length L that is attached to the ceiling. The pendulum is kinetic energy of the system equals its potential energy? placed close to a wall with a nail coming out of it that limits the pendulum oscillations. When the mass is displaced from its equilibrium by a small angle, how long does it take to A x = A/2 return to the starting point? B x = A/√2 D A C x = A/4 D x = A/3 B E E x = A/√3 C
Slide 37 / 37 35 A torsion pendulum has a disk with rotational inertia I that is suspended at the end of a light elastic rod. When the disk is twisted by a small angle θ, the rod exerts a restoring torque τ = -γθ, where γ is a constant. Which of the following differential equations could be used to describe the pendulum motion? A D B E C
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