28/03/2020Oscillations – Simple Harmonic Motion(Senior Class Physics Study by Topics) 0Comments by Gate Academy Welcome to your Oscillations - Simple Harmonic Motion(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. 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/s²2. 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 0.545 m/s 0.114 m/s 3.21 m/s3. What happens to in a SHM system if you double the amplitude? It is multiplied by 4 It stays the same It doubles It halves4. 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 It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s²5. 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 3π/2 2π π/26. Below is the expression for: Displacement None of the above Acceleration Velocity7. In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic? 1/4 Zero 1/2 3/48. Below is the expression for: Displacement Acceleration Velocity None of the above9. 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/√510. 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 that gets quicker and quicker. An oscillation with fixed period and amplitude which varies over time.11. 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 ellipse Figure of eight Straight line Circle12. 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 1.3Hz, maximum acceleration 56mm/s² Frequency 1.3Hz, maximum acceleration 448mm/s² Frequency 8Hz, maximum acceleration 64mm/s²13. 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 n/2 4n 2n14. 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 /T πa√3 /2T 3π²a/T15. 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 harmonc16. 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 2 5 317. 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/m18. 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 0.56m/s² Frequency 0.8Hz, maximum acceleration 0.11m/s² Frequency 1.25Hz, maximum acceleration 7.9m/s² Frequency 1.25Hz, maximum acceleration 1.4m/s²19. 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 K, a and m K, x K, x, m20. 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/s21. 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 0.6 m 2.6 m 3.9 m22. A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is 9/16 3/4 16/9 4/323. Which of the following situation is possible? A pendulum always has more potential energy than kinetic energy A pendulum always has more kinetic energy than potential energy A pendulum always has the same difference of kinetic energy and potential energy A pendulum always has the same sum of kinetic energy and potential energy.24. 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 9.81 m/s/s 82.4 m/s/s 1.23 m/s/s25. 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? 0.0003 m 0.0004 m 0.0002 m 0.0005 m26 out of 25Time is Up!