Oscillations 1. A pendulum oscillates in SHM with amplitude of 3.2 cm and a time period of 0.4 s. Calculate: a) the frequency of the oscillation b) the magnitude of the acceleration when the displacement is a maximum c) the magnitude of the velocity when the pendulum is displaced 1.6 cm from the centre of the oscillation.
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- . Astronauts on a distant planet set up a simple pendulum of length 1.2 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. Determine the ff: a) frequency b) period c) acceleration due to gravity5) A 750 gr block is fastened to a spring with a spring constant of 145 N/m and then pulled 25 cm and released on a horizontal frictionless surface. a) What is the frequency of the motion? b) What is the Period of the motion? c) What is the angular frequency? d) What is the Amplitude? e) Write an equation of the Position as a function of time. f) Write an equation of the Velocity as a function of time. g) Write an equation of the Acceleration as a function of time. h) What is the maximum velocity? i) What is the maximum acceleration?2. The length of a simple pendulum is 0.66 m, the pendulum bob has a mass of 310 g, and it is released at an angle of 12º to the vertical a. With what frequency does it oscillate? Assume SHM.
- 5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz. W -3-2-1 0 1 2 3 + d b. At time t = 0, the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.Q2.A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle ?0 = 0.2 rad from the vertical and released from rest. (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ringA mass-spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm.When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from theequilibrium position. (The following questions can be answered in either order depending onmethod )A. What is the maximum speed of the oscillator?B. What is mass hanging in the spring?
- 1. An object oscillates with SHM with an amplitude of 2.0 cm and a time period of 0.25 s. Calculate a) its frequency b) its acceleration i. at the equilibrium position, ii. at maximum displacement, iii. 0.5 cm from the equilibrium position.6. A 2-kg block is suspended from a spring having a stiffness of 800 N/m If the block is given an upward velocity of 2 m/s when it is displaced downward a distance of 150 mm from its equilibrium position, determine the amplitude of the motion. Assume that positive displacement is downward. 0.180 m 0.108 m1. A grandfather clock is constructed so that it has a simple pendulum that swings from one side to the other, a distance of 30.1 mm, in 1.00 s. what is the maximum speed of the pendulum bob?