6:25.l 94 TUTORIAL 1.pdf TUTORIAL 1 ZCT 103/3 Vibration, Waves and Optics Due: 04/10/2019, 5pm An object performing simple harmonic motion has the displacement equation x= 5 sin (37t )where x is in cm and t is in s. The initial displacement is 5 cm at t=0s. Determine the: (a) Amplitude,angular frequency, frequency, period and phase constant of the motion (b) Displacement, velocity, acceleration, phase at t 3s (c) Maximum velocity and acceleration m 4 cm Equilibrium mass of 0.75 kg is attached to one end of a horizontal spring of spring constant 400 Nm1- he other end of the spring is attached to a rigid wall. The mass is pushed so that at time t 0 it is 4.0 cm closer to the wall than the equilibrium position and is travelling towards the al with a velocity of 0.50 m s1. (a) Obtain an expression for the displacement of the ass in the form x = A cos(ot + p) m, giving numerical values for A, o and p. (b) Draw e displacement vs time graph of the oscillating system (c) Determine the total energy of e oscillating system A simple pendulum of length 80 cm is released on the Earth's surface at an angle of 8° to the vertical ) Calculate the period of the oscillation ) Calculate the maximum velocity and maximum acceleration of the pendulum bob ) Time taken to achieve maximum velocity l) What is the total energy when the pendulum is at the equilibrium point A physical pendulum with mass of 2 kg in the form of a planar body ir harmonic motion. If the frequency of the pendulum is 0.5 Hz and the 0.5 m from the center of mass, determine the moment of inertia of the ple ed out the pivot point
6:25.l 94 TUTORIAL 1.pdf TUTORIAL 1 ZCT 103/3 Vibration, Waves and Optics Due: 04/10/2019, 5pm An object performing simple harmonic motion has the displacement equation x= 5 sin (37t )where x is in cm and t is in s. The initial displacement is 5 cm at t=0s. Determine the: (a) Amplitude,angular frequency, frequency, period and phase constant of the motion (b) Displacement, velocity, acceleration, phase at t 3s (c) Maximum velocity and acceleration m 4 cm Equilibrium mass of 0.75 kg is attached to one end of a horizontal spring of spring constant 400 Nm1- he other end of the spring is attached to a rigid wall. The mass is pushed so that at time t 0 it is 4.0 cm closer to the wall than the equilibrium position and is travelling towards the al with a velocity of 0.50 m s1. (a) Obtain an expression for the displacement of the ass in the form x = A cos(ot + p) m, giving numerical values for A, o and p. (b) Draw e displacement vs time graph of the oscillating system (c) Determine the total energy of e oscillating system A simple pendulum of length 80 cm is released on the Earth's surface at an angle of 8° to the vertical ) Calculate the period of the oscillation ) Calculate the maximum velocity and maximum acceleration of the pendulum bob ) Time taken to achieve maximum velocity l) What is the total energy when the pendulum is at the equilibrium point A physical pendulum with mass of 2 kg in the form of a planar body ir harmonic motion. If the frequency of the pendulum is 0.5 Hz and the 0.5 m from the center of mass, determine the moment of inertia of the ple ed out the pivot point
Chapter6: Waves And Sound
Section: Chapter Questions
Problem 1PIP
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