Question: A ball of mass m is connected to two rubber bands of length L, each under tension T, as in Figure P15.67. The ball is

A ball of mass m is connected to two rubber bands of length L, each under tension T, as in Figure P15.67. The ball is displaced by a small distance y perpendicular to the length of the rubber bands. Assuming that the tension does not change, show that
(a) The restoring force is ─ (2T/L) y and
(b) The system exhibits simple harmonic motion with an angular frequency w = √2T/mL.

A ball of mass m is connected to two rubber

I. I. Figure P15.67

Step by Step Solution

★★★★★

3.30 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b F2Tsine where tan Therefore for a small displacement sine tane an... 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

Document Format (1 attachment)

P-M-O-M (67).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

A block of mass m is connected to two springs of force constants k1 and k2 as shown in Figures P15.71a and P15.71b. In each case, the block moves on a frictionless table after it is displaced from...

A block of mass m is connected to a spring with spring constant k, and oscillates on a horizontal, frictionless surface. The other end of the spring is fixed to a wall. If the amplitude of...

A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is pivoted at the top (Fig. P15.51) (a) Determine the tensions in the rod at the pivot and at the...

019 (part 1 of 2) 10.0 points A slingshot consists of a light leather cup attached between two rubber bands. It takes a force of 31 N to stretch the bands 1.3 cm. a) What is the equivalent spring...

N Student Links - Northern Vi X _ Applications | Rapididentity X N PHY 231 Homework -- Ener X Question 6 of 12 - PHY 231 X Course Hero X Question 10 of 10 - PHY 23 X + V X -> C...

2: What is the meaning and purpose of a "Chain of command" in an operation? Question 3: What is the importance of time management when planning your daily job tasks

Home - hofstra.edu x Content X A Chapter 22 problems - PHYS 0 x G formula for charge on each sph x + webassign.net/web/Student/Assignment-Responses/submit?dep=31196292&tags=autosave#question4039200_9...

watch the three short clips below then answer the questions Copy and paste the three links below 1) Projectile Motion https://www.nsf.govews/mmg/mmg_disp.jsp?med_id=72205&from= 2) Newton's Second Law...

D Cengage Learning X VA A#7-Waves - PHY354, section AB x * Dashboard X C & https://www.webassign.net/web/Student/Assignment-Responses/last?dep=31551927 . .. b For this assignment, you submit answers...

3. [l0.62 Points] ASK YOUR TEACHER PRACTICE ANOTHER Two metal balls A and B of negligible radius are oating at rest on Space Station Freedom between two metal bulkheads, connected by a taut...

Repeat Exercise 10 using Algorithm 6.1 in Maple with Digits:= 10. In Exercise 10 a. 58.9x 1 + 0.03x 2 = 59.2, 6.10x 1 + 5.31x 2 = 47.0. Actual solution [1, 10] b. 3.3330x 1 + 15920x 2 + 10.333x 3 =...

Using the following information, what is the cost to lease a car? (Assume there are no charges for damage at the end of the lease.) Round your answer to two decimals. Do not include the dollar sign...

Exxon Consulting, works as an agent on behalf of business consumers to collect information on various industrial products. When faced with buying decisions, businesses can approach Exxon to obtain...

Find L -1 (s 2 /(s 2 +a 2 )(s 2 +b 2 ))

1- Assume that x, y ER and z = x+ iy E C and answer the followings: Find the linear transform which converts Re{z} > 3 area to inside the unit circle with center (0,1). b- Find the linear transform...

Case study about the topic " Several reasons why Filipino Cuisine is Least preferred worldwide". Guidelines in doing the case study: I. Introduction - Short background of the case with a minimum of...

What is the function of the Yaw control mechanism in a wind turbine?

With the help of a neat sketch, explain various types of solar collectors?

8. Write the statement to assign the contents of the dblTotalSales variable to the lblTotal control.

Problem 7.16 Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four...

Can someone tell me what is wrong with this Java coding? package com.wilfrid.main; import java.util.Scanner; public class Simulation { public static void main(String[] args) { try { getInput(); }...

Please show all work Problem 1 (65 Points) Two random variables X and Y have joint probability density function f(I, y) = cry, 0