Concept explainers
The kind of force that produce
Answer to Problem 1PLA
The force directed towards the equilibrium position produce simple harmonic motionand
Explanation of Solution
Simple harmonic motion is a type of oscillating motion in which the displacement of mass moving in one dimension is described by a single sine or cosine function.
Force of the mass with simple harmonic motion is directly proportional to the magnitude of the displacement from its equilibrium position and its direction must be towards the equilibrium position of the mass.
Write the equation of force for simple harmonic motion
Here,
Conclusion:
Therefore, the force directed towards the equilibrium position produce simple harmonic motion and
Want to see more full solutions like this?
Chapter 20 Solutions
Physics Laboratory Manual
- Give an example of a damped harmonic oscillator. (They are more common than undamped or simple harmonic oscillators.)arrow_forwardIn 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.arrow_forwardHow would a car bounce after a bump under each of these conditions? (a) overdamping (b) underdamping (c) critical dampingarrow_forward
- Give an example of a damped harmonic oscillator. (They we more common than undamped or simple harmonic oscillators.)arrow_forwardExplain 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.)arrow_forwardThe mechanical energy of an undamped blockspring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.arrow_forward
- How would a car bounce after a bump under each of these conditions? • overdamping • underdamping • critical dampingarrow_forwardA simple pendulum can be modeled as exhibiting simple harmonic motion when is small. Is the motion periodic when is large?arrow_forwardIt 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 P16.23arrow_forward
- 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.)arrow_forwardConsider 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.arrow_forwardA vertical spring stretches 3.9 cm when a 10.-g object is hung from it. The object is replaced with a block of mass 25 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning