Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. 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 ? n/4 4n n/2 2n 2. 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, m K, x K, a and m K, a 3. 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 3Hz 2Hz 1Hz 4. 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? 10.3 m/s 17.1 m/s 11.2 m/s 14.6 m/s 5. 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 6. 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/T πa√3 /T πa√3 /2T 7. A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = a/2 is T/3 T/2 T/6 T/4 8. 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 2.67 seconds 5.34 seconds 1.67 seconds 9. 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? 0.0005 m 0.0004 m 0.0003 m 0.0002 m 10. 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 = 2.9mm/s² T = 2.8s; a = 76mm/s² T = 14.2s; a = 76mm/s² 11. The circular motion of a particle whose speed is constant is __________ Simple harmonic but not periodic Neither periodic not simple harmonc Periodic and Simple harmonic Period but not simple harmonic 12. The potential energy of a simple harmonic oscillator when the particle is half way to its end point is 2 E/3 E/4 E/8 E/2 13. 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. 9.81 m/s/s 39.2 m/s/s 82.4 m/s/s 1.23 m/s/s 14. 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/4 A/2 15. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? 1/2 3/4 Zero 1/4 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 g + α √g² + α² g - α 17. Which of the following is a simple harmonic motion? Ball bouncing between two vertical walls Wave moving through a string fixed at both ends Particle moving in a circle with uniform speed Earth spinning about its axis 18. 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 4π/√5 √5/2π √5/π 2π/√5 19. 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 = 30m/s F = 0.12Hz; v = 30m/s F = 0.12Hz; v = 0.30m/s F = 0.21Hz; v = 0.30m/s 20. All are the characteristics of the moon except? Round White Big Square 21. 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 0.047m/s² It has a frequency of 0.5Hz and a maximum acceleration of 0.15m/s² It has a frequency of 2Hz and a maximum acceleration of 0.047m/s² 22. 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:- Heavy Damping Chronic Damping Critical Damping Light Damping 23. 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 π/2 π 3π/2 2π 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 2 5 1 25. 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 8Hz, maximum acceleration 56mm/s² Frequency 1.3Hz, maximum acceleration 56mm/s² Frequency 1.3Hz, maximum acceleration 448mm/s² 1 out of 25 Time is Up! Time's up
