A uniform sphere of radius r and mass m does a pure rolling motion along an...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A uniform sphere of radius r and mass m does a pure rolling motion along an inclined plane with a center of mass velocity V1 and an angular velocity ofw 1.< move, and the angle between the inclined plane and the horizontal plane is As shown in Figure, when it contacts with the horizontal plane Continue to do pure rolling motion after a short glide.< 1.What is the angular velocity of the sphere when it returns to pure rolling on the horizontal plane? 2.What is the velocity of the center of mass? < [Hint: please represent V1, w 1 and B @₁ В له V₁ 고 A uniform sphere of radius r and mass m does a pure rolling motion along an inclined plane with a center of mass velocity V1 and an angular velocity ofw 1.< move, and the angle between the inclined plane and the horizontal plane is As shown in Figure, when it contacts with the horizontal plane Continue to do pure rolling motion after a short glide.< 1.What is the angular velocity of the sphere when it returns to pure rolling on the horizontal plane? 2.What is the velocity of the center of mass? < [Hint: please represent V1, w 1 and B @₁ В له V₁ 고
Expert Answer:
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
Students also viewed these mechanical engineering questions
-
A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle q by a horizontal string, as shown in Figure. Let R = 20 cm, M = 3 kg, and q = 30 o . (a) Find the tension in the...
-
A solid sphere of radius R and mass M is placed in a trough as shown in Figure P12.42. The inner surfaces of the trough are frictionless. Determine the forces exerted by the trough on the sphere at...
-
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...
-
On January 1, 2011, M Company granted 98,000 stock options to certain executives. The options are exercisable no sooner than December 31, 2013 and expire on January 1, 2017. Each option can be...
-
Briefly explain the difference between the single-step and multiple-step income statement formats.
-
Beckett Co. received its bank statement for the month ending June 30, 2016, and reconciled the statement balance to the June 30, 2016, balance in the Cash account. The reconciled balance was...
-
Which of the following statements is false? a. A flowchart is an analytical technique used to describe some aspect of an information system in a clear, concise, and logical manner. b. Flowcharts use...
-
Aber Limited is trying to determine the value of its ending inventory as of February 28, 2014, the companys year-end. The accountant counted everything that was in the warehouse, as of February 28,...
-
The mass affordability of electronic devices such as the iPhone is the result of the following, except
-
The information necessary for preparing the 2024 year-end adjusting entries for Bearcat Personal Training Academy appears below. Bearcats fiscal year-end is December 31. 1. At the end of the year,...
-
Consider two different designs: (1) Processor: use the direct mapping cache (one level) (2) Processor: use the 2-way set-associative cache (one level) In both Processors, the CPI is 2.0 under the...
-
Consider the project of developing an optical simulator which has 6 different tasks. The tasks and task times are provided below in the following table: Activity A. Optical Design B. System...
-
a) 1) - the graph showing the annual financial performance of a business company known as SIME DARBY BERHAD. By using the following Profit Margin data (% - blue line) in Figure 2, Construct the...
-
The current price of crude oil is $32.00 per barrel. Forward prices for 3, 6, 9, and 12 months are $31.37, 830.75, $30.14, and $29.54. Assuming a 2% continuously-compounded annual risk-free rate. (i)...
-
Assume the investor places portfolio weight on asset X, and on asset Y. Assuming that the return to the two assets are perfectly positively correlated, calculate the expected return and the standard...
-
MR Hank owns and operates a pet store. She contributed 5 , 0 0 0 bags of cat and dog food from her inventory to the local Society for Prevention of Cruelty to Animals. Her cost basis in the pet food...
-
If the dividend expected during the coming year, D1, for Thandi's common stock is $2.73, and if growth is at 6%, at what price should Thandi sell her stock? Assume Thandi's stock has a beta of 1.10,...
-
6 (a) Briefly develop a mathematical model of the behaviour of a copper-twisted pair cable (b) Derive the magnetic energy from: w given that: K + w, where the - - k symbols have their usual meaning...
-
The truss shown consists of nine members and is supported by two short links at each of the joints A, B, and C. Determine the force in each of the members for the given loading. 17 I N
-
For the tree of Prob. 2.73, knowing that the tension in cable AC is 980 lb and that the resultant of the forces exerted at A by cables AB and AC lies in the yz plane, determine (a) The tension in AB,...
-
Knowing that 300 N/ω = m, determine (a) The distance a for which the ratio of the vertical reaction at support B to the vertical reaction at support A is a maximum, (b) The corresponding...
-
Discuss the pros and cons of a 360 - degree evaluation of the chief executive s performance.
-
List specific bylaws clauses that are bound to change as the organization evolves. How might these issues be handled in a start - up board and then in a more mature board?
-
Which data entry application control would detect and prevent entry of alpha betic characters as the price of an item in the inventory master file? a. field check c. completeness check b. limit check...
Study smarter with the SolutionInn App