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peden (jp5559) – Simple Harmonic Motion – peden – (001) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Due Friday @ 8:00 AM 001 10.0 points An oscillator is described by What is the period of this motion? 1. T = 3. T = 2 π ω 4. T = ω 2 A 5. T = 1 2 3 4 5 6 7 8 9 10 11 12 t (sec) What is the angular frequency ω? 1. 6.2 rad/s 2. 2.0 rad/s 3. 3.1 rad/s 4. 4.0 rad/s 5. 1.6 rad/s 002 10.0 points When a body executes simple harmonic motion, its period is 1. the reciprocal of its speed. 2. proportional to its amplitude. 3. proportional to its acceleration. 4. inversely proportional to its acceleration. 5. independent of its amplitude. 003 10.0 points An object moves up and down the y-axis with an acceleration given as a function of time t by the expression a = A sin ω t, where A and ω are constants. ω 2π 2. T = ω x(t) 2 1 1 2π ω 004 10.0 points The displacement in simple harmonic motion is a maximum when the 1. linear momentum is a maximum. 2. acceleration is zero. 3. velocity is a maximum. 4. kinetic energy is a maximum. 5. velocity is zero. 005 (part 1 of 6) 10.0 points A spring with a spring constant of 50.9 N/m is attached to different masses, and the system is set in motion. What is its period for a mass of 2.5 kg? Answer in units of s. 006 (part 2 of 6) 10.0 points What is its frequency? Answer in units of Hz. 007 (part 3 of 6) 10.0 points What is the period for a mass of 34 g? Answer in units of s. 008 (part 4 of 6) 10.0 points What is its frequency? Answer in units of Hz. 009 (part 5 of 6) 10.0 points What is the period for a mass of 1.8 kg? Answer in units of s. peden (jp5559) – Simple Harmonic Motion – peden – (001) 010 (part 6 of 6) 10.0 points What is its frequency? Answer in units of Hz. 011 10.0 points A mass of 0.31 kg is attached to a spring and is set into vibration with a period of 0.23 s. What is the spring constant of the spring? Answer in units of N/m. 012 10.0 points A 126 N object vibrates with a period of 4.73 s when hanging from a spring. What is the spring constant of the spring? The acceleration of gravity is 9.81 m/s2 . Answer in units of N/m. 013 10.0 points When an object oscillating in simple harmonic motion is at its maximum displacement from the equilibrium position, which of the following is true of the values of its speed and the magnitude of the restoring force? Magnitude of Speed Restoring Force 1. 1 maximum 2 2. Maximum 1 maximum 2 1 maximum 2 3. Zero Zero 4. Maximum Zero 5. Zero Maximum 014 10.0 points A spring stretches 4.2 cm when a 15 g object is hung from it. The object is replaced with a block of mass 29 g which oscillates in simple harmonic motion. The acceleration of gravity is 9.8 m/s2 . Calculate the period of motion. Answer in units of s. 2