Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? Zero 1/2 3/4 1/4 2. A body is executing SHM. When the displacements from the mean position is 4 cm and 5 cm, the corresponding velocities of the body is 10 cm/s and 8 cm/s. Then, the time period of the body is 2π π π/2 3π/2 3. A mass m is vertically suspended from a spring of negligible mass, the system oscillates with a frequency n. What will be the frequency of the system, if a mass 4m is suspended from the same spring ? 4n n/2 2n n/4 4. Below is the expression for: Displacement Velocity Acceleration None of the above 5. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are kgs kg/s kgm/s kgm/s² 6. A body executes SHM with an amplitude a. At what displacement from the mean position, the potential energy of the body is one-fourth of its total energy ? 3A/4 Some other fraction A/2 A/4 7. A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is 4 Hz 1 Hz 3 Hz 2 Hz 8. The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of n results in the displacement of the particle along Circle ellipse Figure of eight Straight line 9. What is the correct formula for the period of the simple harmonic motion of a mass, m, on a spring of constant, k? T = 2π√l/g T = 1/2π√m/g T = 2π√m/k T = 2π/A√k/m 10. A pendulum of length 5.8m is displaced by 23cm and released (g = data sheet). The frequency and maximum speed of the subsequent motion are:- F = 0.21Hz; v = 0.30m/s F = 0.12Hz; v = 0.30m/s F = 0.12Hz; v = 30m/s F = 0.21Hz; v = 30m/s 11. Two simple harmonic motions of angular frequency 100 rad/s and 1000 rad/s have the same displacement amplitude. The ratio of their maximum accelerations is 1:100 1:1000 1:10000 1:10 12. In SHM restoring force is F = - kx, where k is force constant, x is displacement and a is amplitude of motion, then total energy depends upon K, x K, a K, x, m K, a and m 13. A student looking after his twin baby sisters, Mary and Jane, decides to take them to the swings. Each swing has a time period of 3.2s. He releases Mary from an amplitude of 1.2m just 0.8s before he releases Jane from an amplitude of 1.0m. Which of the following is true when Mary is at maximum amplitude:- Jane is moving slower than Mary They have a phase difference of pi/2 and a separation of 1.2m They have a phase difference of pi and a separation of 1.2m They have a phase difference of pi and a separation of 1.0m 14. A mass oscillating on a spring completes 20 oscillations in 16s. If its amplitude is 2.2cm which of the following is true? Frequency 1.25Hz, maximum acceleration 1.4m/s² Frequency 0.8Hz, maximum acceleration 0.11m/s² Frequency 1.25Hz, maximum acceleration 0.56m/s² Frequency 1.25Hz, maximum acceleration 7.9m/s² 15. What happens to in a SHM system if you double the amplitude? It doubles It is multiplied by 4 It halves It stays the same 16. A long pendulum has a time period of 10 s. If the bob is displaced 2 m from the equilibrium position and released, how long will it take to move 1 m? 1.24 seconds 5.34 seconds 2.67 seconds 1.67 seconds 17. A spring stretches 50 mm when a mass of 0.15 kg is hung from it (g = data sheet). The spring is extended a further 15 mm and released. Its Time Period and maximum acceleration are :- T = 2.8s; a = 2.9mm/s² T = 14.2s; a = 76mm/s² T = 14.2s; a = 2.9mm/s² T = 2.8s; a = 76mm/s² 18. When an object is oscillating with SHM, its motion through the equilibrium position can best be described by:- Zero acceleration, maximum speed Zero displacement, maximum displacement Zero acceleration, maximum amplitude Zero amplitude, maximum acceleration 19. The circular motion of a particle whose speed is constant is __________ Simple harmonic but not periodic Period but not simple harmonic Periodic and Simple harmonic Neither periodic not simple harmonc 20. All are the characteristics of the moon except? Round White Square Big 21. A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is 2π/√5 √5/π 4π/√5 √5/2π 22. The above graph of a parabola can only be which of the following for a simple harmonic oscillator? Potential energy versus displacement graph Kinetic energy versus displacement graph. Potential energy versus time graph Kinetic energy versus time graph 23. A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be πa/T 3π²a/T πa√3 /2T πa√3 /T 24. A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is 9/16 4/3 3/4 16/9 25. The potential energy of a simple harmonic oscillator when the particle is half way to its end point is E/2 2 E/3 E/8 E/4 1 out of 25 Time is Up! Time's up