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 natural frequency is just below the ideal driving frequency The energy absorbed each oscillation = the energy lost each oscillation The energy lost each oscillation depends on the damping of the system 2. What is the angular frequency of the oscillation? 1.1 rad/s 2.2. rad/s 3.3 rad/s 4.4 rad/s 3. 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 Straight line ellipse Circle Figure of eight 4. When a pendulum is at its equilibrium point, which of the following statement is correct? It is at the maximum velocity and lowest potential energy It is at the maximum velocity and highest potential energy It is at 0 velocity and highest potential energy It is at 0 velocity and lowest potential energy 5. The potential energy of a simple harmonic oscillator when the particle is half way to its end point is E/4 2 E/3 E/2 E/8 6. 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 √5/2π 4π/√5 2π/√5 √5/π 7. Which statement best describes simple harmonic motion? An oscillation that increase in amplitude over time. An oscillation with a fixed period and fixed amplitude. An oscillation with fixed period and amplitude which varies over time. An oscillation that gets quicker and quicker. 8. 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 9.81 m/s/s 39.2 m/s/s 1.23 m/s/s 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? 0.0004 m 0.0005 m 0.0003 m 0.0002 m 10. 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 56mm/s² Frequency 1.3Hz, maximum acceleration 448mm/s² 11. Below is the expression for: Displacement Velocity None of the above Acceleration 12. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are kgm/s kgs kg/s kgm/s² 13. 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 3π/2 π π/2 2π 14. Which of the following is a simple harmonic motion? Wave moving through a string fixed at both ends Particle moving in a circle with uniform speed Ball bouncing between two vertical walls Earth spinning about its axis 15. 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 √g² + α² g + α G g - α 16. 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 14.6 m/s 10.3 m/s 17.1 m/s 17. A particle executing simple harmonic motion of amplitude 5cm has a maximum speed of 31.4 cm/s. The frequency of its oscillation is? 1Hz 2Hz 4Hz 3Hz 18. The circular motion of a particle whose speed is constant is __________ Periodic and Simple harmonic Period but not simple harmonic Simple harmonic but not periodic Neither periodic not simple harmonc 19. 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√3 /T πa√3 /2T 3π²a/T πa/T 20. 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 = 2.8s; a = 76mm/s² T = 14.2s; a = 76mm/s² T = 14.2s; a = 2.9mm/s² 21. 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. 0.321 m 0.500 m 0.482 m 0.438 m 22. All are the characteristics of the moon except? Square Big White Round 23. 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. 3.21 m/s 0.545 m/s 0.114 m/s 0.251 m/s 24. When an object is oscillating with SHM, its motion through the equilibrium position can best be described by:- Zero amplitude, maximum acceleration Zero acceleration, maximum amplitude Zero displacement, maximum displacement Zero acceleration, maximum speed 25. 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 7.9m/s² Frequency 1.25Hz, maximum acceleration 1.4m/s² Frequency 1.25Hz, maximum acceleration 0.56m/s² Frequency 0.8Hz, maximum acceleration 0.11m/s² 1 out of 25 Time is Up! Time's up