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 ? 2n n/4 n/2 4n2. 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? 0.6 m 1.3 m 3.9 m 2.6 m3. 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 2Hz4. 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? 0.089 s 0.56 s 70.2 s 0.28 s5. 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/s²6. 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 /2T 3π²a/T πa√3 /T7. 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 energy8. 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 π/2 2π 3π/29. 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 10.3 m/s 14.6 m/s 17.1 m/s10. 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 m11. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? 1/2 Zero 3/4 1/412. A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is 1 Hz 2 Hz 4 Hz 3 Hz13. There is a maximum amplitude during resonance of any system because:- 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 The energy absorbed each oscillation = the energy lost each oscillation14. When an object is oscillating with SHM, its motion through the equilibrium position can best be described by:- Zero acceleration, maximum speed Zero acceleration, maximum amplitude Zero amplitude, maximum acceleration Zero displacement, maximum displacement15. 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 ? Some other fraction 3A/4 A/2 A/416. Which statement best describes simple harmonic motion? An oscillation with fixed period and amplitude which varies over time. An oscillation that increase in amplitude over time. An oscillation that gets quicker and quicker. An oscillation with a fixed period and fixed amplitude.17. A student looking after his twin baby sisters, Mary and Jane, decides to take them to the swings. Each swing has a time period of 3.2s. He releases Mary from an amplitude of 1.2m just 0.8s before he releases Jane from an amplitude of 1.0m. Which of the following is true when Mary is at maximum amplitude:- They have a phase difference of pi/2 and a separation of 1.2m They have a phase difference of pi and a separation of 1.0m Jane is moving slower than Mary They have a phase difference of pi and a separation of 1.2m18. Two simple harmonic motions of angular frequency 100 rad/s and 1000 rad/s have the same displacement amplitude. The ratio of their maximum accelerations is 1:1000 1:10 1:10000 1:10019. 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 3 5 220. What is the correct formula for the period of the simple harmonic motion of a mass, m, on a spring of constant, k? T = 1/2π√m/g T = 2π/A√k/m T = 2π√l/g T = 2π√m/k21. 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 Circle ellipse Figure of eight Straight line22. 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 5.34 seconds 1.67 seconds 1.24 seconds23. 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 and m K, a K, x K, x, m24. All are the characteristics of the moon except? Big White Square Round25. Which of the following is a simple harmonic motion? Earth spinning about its axis Particle moving in a circle with uniform speed Ball bouncing between two vertical walls Wave moving through a string fixed at both ends26 out of 25Time is Up!