Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. 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? 0.0002 m 0.0004 m 0.0005 m 0.0003 m 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 4π/√5 √5/π 2π/√5 √5/2π 3. 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. 0.438 m 0.482 m 0.321 m 0.500 m 4. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? 1/2 Zero 1/4 3/4 5. What happens to in a SHM system if you double the amplitude? It doubles It is multiplied by 4 It stays the same It halves 6. 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 7. 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. 39.2 m/s/s 1.23 m/s/s 9.81 m/s/s 82.4 m/s/s 8. 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 9. 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/4 n/2 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 = 76mm/s² T = 2.8s; a = 76mm/s² T = 14.2s; a = 2.9mm/s² 11. 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√l/g T = 2π√m/k T = 1/2π√m/g T = 2π/A√k/m 12. 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 2π π 3π/2 13. A 4 kg mass attached to a spring undergoes simple harmonic motion with period 2.5 s. What is the spring constant? 25 N/m 150 N/m 250 N/m 35 N/m 14. When an object is oscillating with SHM, its motion through the equilibrium position can best be described by:- Zero acceleration, maximum speed Zero amplitude, maximum acceleration Zero acceleration, maximum amplitude Zero displacement, maximum displacement 15. 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 4 Hz 3 Hz 1 Hz 16. 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 halves It is multiplied by 4 17. 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? 1.67 seconds 2.67 seconds 5.34 seconds 1.24 seconds 18. When a pendulum is at its equilibrium point, which of the following statement is correct? It is at the maximum velocity and highest potential energy It is at 0 velocity and lowest potential energy It is at 0 velocity and highest potential energy It is at the maximum velocity and lowest potential energy 19. 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, a K, a and m K, x 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 2.6 m 1.3 m 0.6 m 21. 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 Critical Damping Chronic Damping Light Damping 22. 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 23. 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 17.1 m/s 10.3 m/s 24. 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 3.21 m/s 0.545 m/s 0.251 m/s 25. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are kgm/s² kgs kgm/s kg/s 1 out of 25 Time is Up! Time's up