Question: A small sphere of mass m suspended by a thread is first taken aside so that the thread forms the right angle with the vertical

A small sphere of mass m suspended by a thread is first taken aside so that the thread forms the right angle with the vertical and then released. Find: (a) The total acceleration of the sphere and the thread tension as a function of θ, the angle of deflection of the thread from the vertical; (b) The thread tension at the moment when the vertical component of the sphere's velocity is maximum; (c) The angle θ between the thread and the vertical at the moment when the total acceleration vector of the sphere is directed horizontally

Step by Step Solution

★★★★★

3.51 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let us depict the forces acting on the small sphere m at an arbitrary position when the thread make... View full answer

blur-text-image

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-D (27).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Q:

A simple pendulum consists of a bob of mass m suspended by an inextensible (and mass less) string of length l. From the bob of this pendulum is suspended a second, identical pendulum. Consider the...

Q:

A ball of mass m suspended by a weightless spring can perform vertical oscillations with damping coefficient . The natural oscillation frequency is equal to w0. Due to the external vertical force...

Q:

A solid sphere of mass m and radius r rolls without slipping along the track shown in Figure P10.79. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop...

Q:

PROJECT SCENARIO You are recently appointed as the IT Consultant and Software Architect in BMS a Software Architect firm. As your first project, you are assigned by the Project Manager to propose and...

Q:

Suppose that a firm produces two products, A and B, that sell for $a and $b, respectively, with the total cost of producing x units of A and y units of B equal to C(x, y). Show that when the profit...

Q:

The Giant Farmer Company processes food for sale in discount food stores. ft has two plants: one in Chicago and one in Houston. The company also operates warehouses in Miami. Florida: Denver,...

Q:

Explain the need for a new field of financial therapy.

Q:

The presidents executive jet is not fully utilized. You judge that its use by other officers would increase direct operating costs by only $20,000 a year and would save $100,000 a year in airline...

Q:

Shares in Springfield Nuclear Power Corp. ( SNP ) currently sell for $ 2 5 . You believe that the shares will be worth $ 3 0 in one year, and this implies that return you expect on these shares is 2...

Q:

Pam spends her money on bread and Spam, and her indifference curves obey the four properties of indifference curves for ordinary goods. Suppose that, for Pam, Spam is an inferior, but not a Giffen,...

Q:

Develop an expression for the variation in temperature with pressure in a constant entropy process, (T/P)s, that only includes the properties PvT and the specific heat, Cp. Follow the development for...

Q:

The following events occurred for Favata Company: a. Received $11,500 cash from owners and issued stock to them. b. Borrowed $8,500 cash from a bank and signed a note due later this year. c. Bought...

Q:

The head of the accounting department at a major software manufacturer has asked you to put together a pro forma statement of the company's value under several possible growth scenarios and the...

Q:

Mrs. Porter's mother is a feisty, independent 86-year-old widow by the name of Mary Brown. Mary Brown still lives in her own home, with a few hours of home support twice a week. Mary comes into the...

Q:

2. Missing data, ROI. The following excerpted data were taken from a report published by retailing industry: Red Company Blue Company White Company Sales P6,000,000 P 4,800,000 P2 1,200,000 Net...

Q:

Maria works for a large, local company. She is an administrative assistant to the director of the Human Resources Department, the person who hires new employees. Many people come into Maria's office...

Q:

How might you structure the report of the fi ndings of a project that you conducted? The messiness of social research

Q:

Currently, there are five concepts of food stands, including: hot dogs, soft pretzels, turkey legs, sandwich wraps, and funnel cakes. This approach will double the existing number of food stands...

Q:

Find the word or phrase from the list below that best matches the description in the following questions. Use the numbers to the left of words in the answer. Each answer should be used only once....

Q:

Methods of variable selection like (Forward,backward, step-wise selection) can be quick and cheap to achieve but can present some issues. Describe 5 issues that arise with these methods of variable...

Q:

4. Construct a confidence interval around the sample mean X = 25 for the following conditions: a. N = 25, s = 15, 95% confidence level b. N = 25, s = 15, 90% confidence level c. X = 4.5, = 0.05, df =...

Q:

1. need answers for a,b,c,d Tony Begay at Saguaro Funds. Torry Begay, a currency trader for Chicago-based Saguaro Funds, uses the following futures quotes, on the British pound ( f ) to speculate on...

Related Book

Physics for Scientists and Engineers A Strategic Approach with Modern Physics 4th edition by Randall D. Knight