Explanation Given Information: A simple pendulum is 1 2 percent longer than the period of the same pendulum. Calculation: Write the expression period ( τ n ) 0 for the small oscillation of the pendulum: ( τ n ) 0 = 2 π l g The pendulum is 1 2 longer than the period ( τ n ) of the same pendulum. Write the expression for the period ( τ n ) : τ n = ( 1 + ( 1 2 ) 100 ) ( τ n ) 0 = 1.005 ( τ n ) 0 Substitute 2 π l g for ( τ n ) 0 . τ n = 1.005 ( 2 π l g ) Calculate the amplitude ( θ m ) using the relation; τ n = 2 π l g ( 1 + 1 4 sin 2 θ m 2 ) Substitute 1

12th Edition

ISBN: 9781264095032

Author: BEER

Publisher: MCGRAW-HILL HIGHER EDUCATION

See similar textbooks

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Gen…

Videos

Question

Chapter 19.1, Problem 19.34P

To determine

The amplitude (θm) for which the period of a simple pendulum is 12 percent longer than the period of the same pendulum for small oscillations.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19.1, Problem 19.33P

Chapter 19.1, Problem 19.35P

Students have asked these similar questions

A 2-kW resistance heater wire with thermal conductivity of k=20 W/mK, a diameter of D=4mm, and a length of L=0.9m is used to boil water. If the outer surface temp of the resistance wire is Ts=110 degrees C, determine the temp at the center of the wire.

A flat-plate solar collector is used to heat water by having water flow through tubes attached at the back of the thin solar absorber plate. The absorber plate has emmisssivity and an absorptivity of 0.9. The top surface where x=0 temp of the absorber is T0=35 degrees C, and solar radiation is incident on the basorber at 500 W/m^2 with a surrounding temp of 0 degrees C. The convection heat transfer coefficient at the absorber surface is 5 W/m^2 K, while the ambient temp is 25 degrees C. Show that the variation of the temp in the basorber plate can be expressed as T(x)=-(q0/k)x+T0, and determine net heat flux, q, absorbed by solar collector.

Using properties of a saturated water, explain how you would determine the mole fraction of water vapor at the surface of a lake when the temp of the lake surface and the atmospheric pressure are specified.

Chapter 19 Solutions

VECTOR MECHANIC

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - Prob. 19.6P Ch. 19.1 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - Prob. 19.10P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The amplitude ( θ m ) for which the period of a simple pendulum is 1 2 percent longer than the period of the same pendulum for small oscillations.

Solution Summary: The author calculates the amplitude of a simple pendulum: raisebox1ex1!

Concept explainers

Videos

The amplitude (θm) for which the period of a simple pendulum is 12 percent longer than the period of the same pendulum for small oscillations.

Want to see the full answer?

Chapter 19 Solutions