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. There is a maximum amplitude during resonance of any system because:- The energy absorbed each oscillation depends on the damping of the system The energy absorbed each oscillation = the energy lost each oscillation The natural frequency is just below the ideal driving frequency The energy lost each oscillation depends on the damping of the system 2. 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 √5/π 4π/√5 √5/2π 2π/√5 3. A 2 kg mass is placed on the end of a spring with a constant 250 N/m. What will be the period of oscillation when the spring performs a simple harmonic motion? 0.28 s 0.089 s 70.2 s 0.56 s 4. What happens to in a SHM system if you double the amplitude? It stays the same It halves It is multiplied by 4 It doubles 5. A linear harmonic oscillator of force constant 2 xN/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its Minimum potential energy is 100 J Maximum potential energy is zero Maximum potential energy is 160 J Maximum potential energy is 100 J 6. 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. 1.23 m/s/s 39.2 m/s/s 9.81 m/s/s 82.4 m/s/s 7. 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 8. 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? 0.0004 m 0.0003 m 0.0002 m 0.0005 m 9. 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 10. 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 ? 2n 4n n/2 n/4 11. 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 = 0.12Hz; v = 0.30m/s F = 0.21Hz; v = 0.30m/s F = 0.12Hz; v = 30m/s F = 0.21Hz; v = 30m/s 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. 0.500 m 0.438 m 0.482 m 0.321 m 13. 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 250 N/m 150 N/m 25 N/m 14. 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 56mm/s² Frequency 8Hz, maximum acceleration 64mm/s² Frequency 1.3Hz, maximum acceleration 448mm/s² Frequency 1.3Hz, maximum acceleration 56mm/s² 15. 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 Figure of eight Circle Straight line ellipse 16. 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 17. What is the angular frequency of the oscillation? 4.4 rad/s 3.3 rad/s 1.1 rad/s 2.2. rad/s 18. 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? 2.67 seconds 1.24 seconds 1.67 seconds 5.34 seconds 19. 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 2Hz 3Hz 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? 1.3 m 2.6 m 0.6 m 3.9 m 21. 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. 0.251 m/s 0.114 m/s 3.21 m/s 0.545 m/s 22. Which of the following situation is possible? A pendulum always has the same difference of kinetic energy and potential energy A pendulum always has more potential energy than kinetic energy A pendulum always has the same sum of kinetic energy and potential energy. A pendulum always has more kinetic energy than potential energy 23. 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, x, m K, a and m K, a 24. 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 3 5 1 2 25. 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 2Hz and a maximum acceleration of 0.047m/s² 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 1 out of 25 Time is Up! Time's up