Question: A (0.25-mathrm{kg}) bob is suspended from a string that is (0.60 mathrm{~m}) long. When the pendulum is set into small-amplitude oscillation, the amplitude decays to

A $0.25-\mathrm{kg}$ bob is suspended from a string that is $0.60 \mathrm{~m}$ long. When the pendulum is set into small-amplitude oscillation, the amplitude decays to half of its initial value in $35 \mathrm{~s}$.

(a) What is the time constant $\tau$ for the pendulum?

(b) At what instant is the energy half of its initial value?

Step by Step Solution

★★★★★

3.55 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem well use the equation for the decay of amplitude in a damped harmonic oscillat... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Particle Physics Questions!

Look at the following energy diagram: (a) Is ?G? for the reaction positive or negative? Label it on the diagram. (b) How many steps are involved in the reaction? (c) How many transition states are...

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

Venus Company acquired equipment on January 1, 20X5, for $470,000. The equipment has an estimated useful life of 5 years and an estimated residual value of $30,000. Calculate depreciation expense for...

trajectory, this kinetic energy is converted into potential energy. When the ball falls back to the ground, the potential energy is converted back into kinetic energy. The total amount of energy in...

energy is converted back into kinetic energy. The total amount of energy in the system remains constant throughout this process Do the entire questions: One of the most fundamental principles of...

lativity is another key concept in physics. This principle states that the laws of physics are the same for all observers in uniform motion relative to one another. This means that there is no...

amount of energy in the system remains constant throughout this process Do the entire questions: One of the most fundamental principles of physics is the conservation of energy. This principle states...

For example, when a ball is thrown into the air, it gains kinetic energy as it moves upward. As it reaches the top of its trajectory, this kinetic energy is converted into potential energy. When the...

This means that there is no preferred frame of reference in the universe, and the laws of physics are the same regardless of where an observer is located. This principle has been confirmed by...

ergy in the system remains constant throughout this process Do the entire questions: One of the most fundamental principles of physics is the conservation of energy. This principle states that energy...

The Sunbeam Corporation is a famous case in which the CEO Al Chainsaw Dunlap was charged with utilizing earnings manipulation to achieve fraudulent financial goals. Find information about this case...

1. Are there unique components of Alibabas e-commerce business model/strategy? 2. Do you think the future of international business will change as more people become familiar with the Alibaba...

What is a collateral contract? What are the criteria that must be met? In JJ Savage [9.140], how could the vendor's statement have been classified? What conclusion did the Court come to? When he buys...

Could a proactive environmental strategy on the part of Shell UK have prevented the Brent Spar debacle? Case 15B.1 Shells environmental management strategy Since the early 1990s, Shells reputation...

Translate this statement into a mathematical expression, using any symbols you wish, but include a "key" to the meaning of each symbol: A certain type of energy of an object is equal to the object's...

Assume the radiation from the cesium atom mentioned in Problem 26 moves at the speed of light. How many meters does the radiation travel in the length of time corresponding to the period calculated...

please show readable work, thank you 2. (15 Percent) The expected cash flow forecasts of an investment are listed on the table below. The investment has a 12% cost of capital and a 5 -year holding...

Walton Airline Company is considering expanding its territory. The company has the opportunity to purchase one of two different used airplanes. The first airplane is expected to cost $15,120,000; it...

Paige Vincent is the revenue manager at the City Center Novotel. For over 12 months, she has been working hard to improve the performance of her hotel. Paige just received the following performance...