Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration, then the time period is given by T=where g is equal to G g - α g + α √g² + α² 2. 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 3π²a/T πa√3 /2T πa/T πa√3 /T 3. An oscillating system's displacement x/mm is described by the equationx=7 Sin( 8t )Which of the following statements are true about the motion? Frequency 8Hz, maximum acceleration 64mm/s² Frequency 1.3Hz, maximum acceleration 448mm/s² Frequency 8Hz, maximum acceleration 56mm/s² Frequency 1.3Hz, maximum acceleration 56mm/s² 4. An oscillating spring has its displacement x/mm described by the equationx = 4 cos ( 5t )After 0.5s its displacement and acceleration are:- X = 3.2mm; a = -80mm/s² X = 3.2mm; a = 80mm/s² X = -3.2mm; a = -80mm/s² X = -3.2mm; a = 80mm/s² 5. 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√m/k T = 2π√l/g T = 2π/A√k/m T = 1/2π√m/g 6. 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 3/4 16/9 9/16 4/3 7. 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/2 π 3π/2 8. A 5 kg mass undergoes simple harmonic motion on spring with constant 70 N/m. If the amplitude of the oscillations are 3 m, what will the maximum speed be? 11.2 m/s 10.3 m/s 14.6 m/s 17.1 m/s 9. 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 = 14.2s; a = 76mm/s² T = 2.8s; a = 76mm/s² T = 14.2s; a = 2.9mm/s² T = 2.8s; a = 2.9mm/s² 10. What happens to time period of a SHM system if you double the amplitude? It halves It doubles since it has twice as far to go It is multiplied by 4 It stays the same 11. Two simple pendulums of length 0.5 m and 2.0 m respectively are given small linear displacement in one direction at the same time. They will again be in the same phase when the pendulum of shorter length has completed oscillations 1 5 3 2 12. 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 1:1000 1:10 1:10000 1:100 13. A particle undergoes simple harmonic motion with angular velocity of 3 rad/s and amplitude of 30 cm. It starts with maximum forward amplitude at time t = 0. Find the velocity at time t = 2 s. 0.114 m/s 0.545 m/s 3.21 m/s 0.251 m/s 14. A particle undergoes simple harmonic motion with an angular velocity of 5 rad/s and an amplitude of 50 cm. It starts with maximum forward amplitude at time t = 0. Find the displacement at time t = 10 s. 0.482 m 0.438 m 0.321 m 0.500 m 15. 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 16. 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 17. When a pendulum is at its equilibrium point, which of the following statement is correct? It is at 0 velocity and highest potential energy It is at 0 velocity and lowest potential energy It is at the maximum velocity and highest potential energy It is at the maximum velocity and lowest potential energy 18. 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 and a separation of 1.0m 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 19. A particle undergoes simple harmonic motion with the angular velocity of 7 rad/s and amplitude of 2 m. It starts with maximum forward amplitude at time t = 0. Find the acceleration at time t = 6s. 82.4 m/s/s 1.23 m/s/s 39.2 m/s/s 9.81 m/s/s 20. Which statement best describes simple harmonic motion? An oscillation with fixed period and amplitude which varies over time. An oscillation that gets quicker and quicker. An oscillation that increase in amplitude over time. An oscillation with a fixed period and fixed amplitude. 21. A 4 kg mass attached to a spring undergoes simple harmonic motion with period 2.5 s. What is the spring constant? 35 N/m 150 N/m 25 N/m 250 N/m 22. A meatball is hanging by a very long spring above the floor in a very large room and it is oscillating up and down. The kinetic energy is given in the following graph.Suppose the meatball is 100 g, what is the maximum displacement of the meatball? 2.6 m 3.9 m 0.6 m 1.3 m 23. 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 time graph Kinetic energy versus displacement graph. Potential energy versus time graph 24. A pendulum is set in motion from rest at t=0 with a displacement of 1.5cm and a time period of 2.0s.Which of the following is true about the motion:- It has a frequency of 0.5Hz and a maximum acceleration of 0.15m/s² It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s² It has a frequency of 2Hz and a maximum acceleration of 0.047m/s² 25. An oscillating system loses energy to the surroundings and returns to its equilibrium position in the shortest possible time. The best description of this system is:- Critical Damping Light Damping Heavy Damping Chronic Damping 1 out of 25 Time is Up! Time's up
