Question 5*A simple pendulum is made of a 50 cm-string and a particle like bob of massm = 10 g. Att = 0, the pendulum is at its equilibrium position and is given an ini-tial velocity vo =+ 0.2 m/s as shown. The potential energy has zero reference atthe lowest point of the pendulum. Take g = 10 m/s².5) The pendulum makes:a. 3.183 oscillations per secondb. 0.712 oscillations per secondc. 0.032 oscillations per secondd. 0.07 oscillations per secondb.O O O

Name: Question 5*A simple pendulum is made of a 50 cm-string and a particle
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Question 5*A simple pendulum is made of a 50 cm-string and a particle like bob of massm = 10 g. Att = 0, the pendulum is at its equilibrium position and is given an ini-tial velocity vo =+ 0.2 m/s as shown. The potential energy has zero reference at

The simple pendulum’s frequency can be determined as, Here, T represents the oscillation’s time…

Science

Physics

A simple pendulum is made of a 50 cm-string and a particle like bob of mass m = 10 g Att= 0, the pendulum is at its equilibrium position and is given an ini- %3D tial velocity v = + 0.2 m/s as shown. The potential energy has zero reference at %3D the lowest point of the pendulum. Take g = 10 m/s. 5) The pendulum makes: a. 3.183 oscillations per second b. 0.712 oscillations per second c. 0.032 oscillations per second d. 0.07 oscillations per second

A simple pendulum is made of a 50 cm-string and a particle like bob of mass m = 10 g Att= 0, the pendulum is at its equilibrium position and is given an ini- %3D tial velocity v = + 0.2 m/s as shown. The potential energy has zero reference at %3D the lowest point of the pendulum. Take g = 10 m/s. 5) The pendulum makes: a. 3.183 oscillations per second b. 0.712 oscillations per second c. 0.032 oscillations per second d. 0.07 oscillations per second

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.9OQ: You stand on the end of a diving board and bounce to set it into oscillation. You find a maximum...

See similar textbooks

Similar questions

It is important for astronauts in space to monitor their body weight. In Earth orbit, a simple scale only reads an apparent weight of zero, so another method is needed. NASA developed the body mass measuring device (BMMD) for Skylab astronauts. The BMMD is a spring-mounted chair that oscillates in simple harmonic motion (Fig. P16.23). From the period of the motion, the mass of the astronaut can be calculated. In a typical system, the chair has a period of oscillation of 0.901 s when empty. The spring constant is 606 N/m. When a certain astronaut sits in the chair, the period of oscillation increases to 2.37 s. Determine the mass of the astronaut. FIGURE P16.23
You stand on the end of a diving board and bounce to set it into oscillation. You find a maximum response in terms of the amplitude of oscillation of the end of the board when you bounce at frequency f. You now move to the middle of the board and repeat the experiment. Is the resonance frequency for forced oscillations at this point (a) higher, (b) lower, or (c) the same as f?
In an engine, a piston oscillates with simpler harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = O. find (a) the position of the particle, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in Figure 5.22. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. Substitute to obtain a numerical value. (e) What is the speed at the halfway point? Why isnt it half the speed at equilibrium?
Determine the period of oscillation of a simple pendulum of length L suspended from the ceiling of a car that rolls down an inclined plane of angle (Fig. P16.73). Dissipative forces between the car and the plane are negligible.
Consider the damped oscillator illustrated in Figure 15.19. The mass of the object is 375 g, the spring constant is 100 N/m, and b = 0.100 N s/m. (a) Over what time interval does the amplitude drop to half its initial value? (b) What If? Over what time interval does the mechanical energy drop to half its initial value? (c) Show that, in general, the fractional rate at which the amplitude decreases in a damped harmonic oscillator is one-half the fractional rate at which the mechanical energy decreases.
A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
Explain in terms of energy how dissipative forces such as friction reduce the amplitude of a harmonic oscillator. Also explain how a driving mechanism can compensate. (A pendulum clock is such a system.)
The initial position, velocity, and acceleration of an object moving in simple harmonic motion are xi vi and ai; the angular frequency of oscillation is . (a) Show that the position and velocity of the object for all time can be written as x(t)=xicost+(vi)sintv(t)=xisint+vicost (b) Using A to represent the amplitude of the motion, show that v2ax=vi2aixi=2A2
Review. A lobstermans buoy is a solid wooden cylinder of radius r and mass M. It is weighted at one end so that it floats upright in calm seawater, having density . A passing shark tugs on the slack rope mooring the buoy to a lobster trap, pulling the buoy down a distance x from its equilibrium position and releasing it. (a) Show that the buoy will execute simple harmonic motion if the resistive effects of the water are ignored. (b) Determine the period of the oscillations.