28/03/2020 Oscillations – Simple Harmonic Motion(Senior Class Physics Study by Topics) 28/03/2020 0Comments by Gate Academy Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. 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/A√k/m T = 2π√l/g T = 1/2π√m/g T = 2π√m/k 2. What happens to in a SHM system if you double the amplitude? It halves It doubles It stays the same It is multiplied by 4 3. A fly of 2 g is flying at a speed of 5 m/s across the room. A spider of mass 100g is hanging underneath a line at rest. The fly flew by the spider and is eaten. Thus the spider starts to oscillate underneath the line. What is the maximum height they will reach? 0.0003 m 0.0002 m 0.0004 m 0.0005 m 4. The circular motion of a particle whose speed is constant is __________ Period but not simple harmonic Periodic and Simple harmonic Neither periodic not simple harmonc Simple harmonic but not periodic 5. A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is 2 Hz 3 Hz 1 Hz 4 Hz 6. Which of the following situation is possible? A pendulum always has more kinetic energy than potential energy A pendulum always has the same sum of kinetic energy and potential energy. A pendulum always has the same difference of kinetic energy and potential energy A pendulum always has more potential energy than kinetic energy 7. The potential energy of a simple harmonic oscillator when the particle is half way to its end point is 2 E/3 E/2 E/8 E/4 8. 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:- Chronic Damping Critical Damping Heavy Damping Light Damping 9. 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 2 3 10. 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 4/3 16/9 9/16 3/4 11. 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 - α g + α √g² + α² G 12. 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 0.500 m 0.438 m 0.321 m 13. What happens to time period of a SHM system if you double the amplitude? It doubles since it has twice as far to go It stays the same It is multiplied by 4 It halves 14. 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 4π/√5 √5/2π √5/π 15. 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 = 0.21Hz; v = 30m/s F = 0.12Hz; v = 30m/s F = 0.12Hz; v = 0.30m/s 16. 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, a K, x K, x, m K, a and m 17. Below is the expression for: Velocity Displacement Acceleration None of the above 18. A linear harmonic oscillator of force constant 2 xN/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its Maximum potential energy is zero Minimum potential energy is 100 J Maximum potential energy is 160 J Maximum potential energy is 100 J 19. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? 1/4 3/4 Zero 1/2 20. 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? 3.9 m 0.6 m 1.3 m 2.6 m 21. Which statement best describes simple harmonic motion? An oscillation that gets quicker and quicker. An oscillation with fixed period and amplitude which varies over time. An oscillation that increase in amplitude over time. An oscillation with a fixed period and fixed amplitude. 22. A particle executing simple harmonic motion of amplitude 5cm has a maximum speed of 31.4 cm/s. The frequency of its oscillation is? 4Hz 1Hz 3Hz 2Hz 23. 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 lowest potential energy It is at the maximum velocity and highest potential energy 24. 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 πa√3 /T 3π²a/T πa√3 /2T 25. There is a maximum amplitude during resonance of any system because:- The energy absorbed each oscillation = the energy lost each oscillation The energy lost each oscillation depends on the damping of the system The natural frequency is just below the ideal driving frequency The energy absorbed each oscillation depends on the damping of the system 1 out of 25 Time is Up! Time's up