Question: 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

A lobsterman’s 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 sea water, having density 6. 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. Show that the buoy will execute simple harmonic motion if the resistive effects of the water are neglected, and determine the period of the oscillations.

Step by Step Solution

★★★★★

3.40 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let represent the length below water at equilibrium and M the t... 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 (72).docx

120 KBs Word File

Students Have Also Explored These Related Oscillations Mechanical Waves Questions!

A uniform cylinder of radius R and mass M can rotate freely about a stationary horizontal axis O (Fig. 1.59). A thin cord of length l and mass m is wound on the cylinder in a single layer. Find the...

A smaller disk of radius r and mass m is attached rigidly to the face of a second larger disk of radius R and mass M as shown in Figure P15.69. The center of the small disk is located at the edge of...

A solid sphere of radius R and mass M slides without friction down a loop-the-loop track. The sphere starts from rest at a height of h above the horizontal. Assume that the radius of the sphere is...

Project 2.11.2 Project: Performance Task: The Parallax Problem Julio Duenas Geometry Sem 1 (S3537251) Points possible: 120 Date: ____________ The Scenario: You're looking for a sponsor to pay for you...

The deck of a wrecked ship forms (a segment of) a plane. A buoy is placed (at water level) to mark the wreck. At the buoy, the ship's deck is 0.5m below water. At a point exactly 2m north of the buoy...

2.11.2Project:Performance Task: The Parallax Problem Project Geometry Sem 1 (S3537251) Julio Duenas Points possible:120 Date: ____________ The Scenario:You're looking for a sponsor to pay for you to...

Problem II ( 7 0 Points ) On the basis of fundamental physics principles, conduct a thorough analysis of the situation below, which shows an individual riding a water slide down an inclined surface...

Submit Quiz This Question: 1 pt 1 of 3 (0 complete) This Quiz: 3 pis possible Buoy manufactures flotation vests in San Diego, Calfomia. Buoy's contribution margin income statement for the most recent...

I will thumbs up! thanks! 1. An oceanographic buoy undergoes an excitation in heave, subject to waves. The buoy has dimensions as shown in the figure and is a square cylinder in shape: A b B Figure...

A. (5 pts) Write the name of region (Sea) which belongs to chart number TR 1912, its chart type and its scale interval? B. (5 pts) Which one is the process of determining a ship's approximate...

1. Identify a problem/dilemma that the organization is facing. Why is it a problem, what will happen if nothing changes? What are the opportunities/benefits of change? 2. Identify poor heuristics...

The Prohibition on Income Recognition from trading in the Companys Shares your friend has considered stock repurchases. He thinks that it is proper for the company to buy its own shares and...

c = 0 , c = + - 1 , c = + - 2 y ' = t y ' = - y y ' = y 2 y ' = - t y y ' = 2 t - y y ' = y 2 - t y ' = c o s y y ' = s i n t y ' = c o s ( y - t )

Given ? and The four equations for the rate of changes in the four species, E, S, ES, and P are as follows: ? ? numerically solve these four equations using the first-order Runge-Kutta method, with...

An entity acquires a 6% Rs. 1,000 Term Finance Certificate (TFC), a financial asset, for Rs. 970 at the beginning of Year 1. Interest is receivable annually in arrears. The TFC is redeemable at the...

1. Let if x

dx Consider the Integral J 1+x2 answer the questic Th

S&L Financial buys and sells securities expecting to earn profits on short-term differences in price. On December 27, 2016. S&L purchased Coca-Cola common shares for $875,000 and sold the...

3. A procedure needs to store the name of a business, the number of its employees at the beginning of the current year, the number of new employees hired during the current year, the number of...

Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 157 adult males, the mean pulse rate is 70.3 bpm and the standard deviation is 10.6 bpm....

A contractor estimates that maintenance on a new piece of equipment will be $275 for the first month and it will increase by 0.5% each month afterwards. However, the contractor is offered a service...

see image for questions This is a simplied example, but it represents a problem that comes up frequently: given a set of uncertain inputs and a limited budget, which of them matter enough to warrant...