4. The movement of a swinging pendulum having mass of bob m and length of rod I with tension in the rod T is schematically shown by figure 2 and can be described by mathematical model: d? e ml- dt2 -mg sin e T Figure 2 Given the mass of bob is 0.1 kg with massless rod of length 0.2 m, and g = 9.8 ms?. The displacement from the equilibrium position is small enough such that sin 0 x 0 is considered valid. The pendulum is released from stationary at the angle of 8= 5° (note that at t = 0, also = 0). i) What would be the time taken to reach the first zero displacement? ii) Estimate the angle 0 after 1.0 s.

4. The movement of a swinging pendulum having mass of bob m and length of rod I with tension in the rod T is schematically shown by figure 2 and can be described by mathematical model: d? e ml- dt2 -mg sin e T Figure 2 Given the mass of bob is 0.1 kg with massless rod of length 0.2 m, and g = 9.8 ms?. The displacement from the equilibrium position is small enough such that sin 0 x 0 is considered valid. The pendulum is released from stationary at the angle of 8= 5° (note that at t = 0, also = 0). i) What would be the time taken to reach the first zero displacement? ii) Estimate the angle 0 after 1.0 s.

Name: ESTIMATE THE ANGLE TITA O AFTER 1.0 S 4. The movement of a swinging pe
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: ESTIMATE THE ANGLE TITA O AFTER 1.0 S 4. The movement of a swinging pendulum having mass of bob m and length of rod I with tensionin the rod T is schematically shown by figure 2 and can be described by mathematicalmodel:d² eml-dt2-mg sin eTmFigure 2G

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 54P: An astronaut on the Moon wishes to measure the local value of g by timing pulses traveling down a...

See similar textbooks

Similar questions

An astronaut on the Moon wishes to measure the local value of g by timing pulses traveling down a wire that has a large object suspended from it. Assume a wire of mass 4.00 g is 1.60 m long and has a 3.00-kg object suspended from it. A pulse requires 36.1 ms to traverse the length of the wire. Calculate gMoon from these data. (You may neglect the mass of the wire when calculating the tension in it.)
The Tunguska event. On June 30, 1908, a meteor burned up and exploded in the atmosphere above the Tunguska River valley in Siberia. It knocked down trees over thousands of square kilometers and started a forest fire, but produced no crater and apparently caused no human casualties. A witness sitting on his doorstep outside the zone of falling trees recalled events in the following sequence. He saw a moving light in the sky, brighter than the Sun and descending at a low angle to the horizon. He felt his face become warm. He felt the ground shake. An invisible agent picked him up and immediately dropped him about a meter from where he had been seated. He heard a very loud protracted rumbling. Suggest an explanation for these observations and for the order in which they happened.
A train is approaching yon at very high speed as you stand next to the tracks. Just as an observer on the train passes you. you both begin to play the same recorded version of a Beethoven symphony on identical iPods, (a) According to you, whose iPod finishes the symphony first? (b) What If? According to the observer on the train, whose iPod finishes the symphony first? (c) Whose iPod actually finishes the symphony first?
An astronaut on the Moon wishes to measure the local value of g by timing pulses traveling down a wire that has a large object suspended from it. Assume a wire of mass 4.00 g is 1.60 m long and has a 3.00-kg object suspended from it. A pulse requires 36.1 ms to traverse the length of the wire. Calculate gMoon from these data. (You may neglect the mass of the wire when calculating the tension in it.)
A laser beam is used to levitate a metal disk against the force of Earths gravity. (a) Derive an equation giving the required intensity of light, I, in terms of the mass m of the disk, the gravitational acceleration g, the speed of light c, and the cross-sectional area of the disk A. Assume the disk is perfectly reflecting and the beam is directed perpendicular to the disk. (b) If the disk has mass 5.00 g and radius 4.00 cm, find the necessary light intensity. (c) Give two reasons why using light pressure as propulsion near Earths surface is impractical.
A highway patrol officer uses a device that measures the speed of vehicles by bouncing radar off them and measuring the Doppler shift. The outgoing radar has a frequency of 100 GHz and the returning echo has a frequency 15.0 kHz higher. What is the velocity of the vehicle? Note that there are two Doppler shifts in echoes. Be certain not to round off until the end of the problem, because the effect is small.
All galaxies farther away than about 50106ly exhibit a red shift in their emitted light that is proportional to distance, with those father and farther away having progressively greater red shifts. What does this imply, assuming that the only source of red shift is relative motion? (Hint: At these large distances, it is space itself that is expanding, but the effect on light is the same.)
You are looking at a small, leafy tree. You do not notice any breeze, and most of the leaves on the tree are motionless. One leaf however, is fluttering hack and forth wildly. After a while, that leaf stops moving and you notice a different leaf moving much more than all the others. Explain what could cause the large motion of one particular leaf.
The radar systems used by police to detect speeders air sensitive to the Doppler shift of a pulse of microwaves. Discuss how this sensitivity can be used to measure the speed of a car.
2. What is the purpose of the compressed air jets along the track? 3. A glider is oscillating on the air track, as shown in Fig. 13.2, between two springs with constants k1 = k2. What is the combined spring constant k of the system? Hint: start by finding the combined force due to both springs. 4. In investigation 2, what is the purpose of permanent magnets attached to the glider?
An X-ray machine makes an image of the internal organs by exposing the human body to the electromagnetic radiation with the wavelength of 10^-10 m. We call this electromagnetic radiation X-rays. Assuming that the speed of light is 3x10^8 m/s, what is the frequency of oscillations of the X-rays? Express your answer in Hertz (Hz).
3. The time interval between flashes on a strobe light is 1/80th of a second. What is the frequency of these flashes?