The small particle of mass m and its restraining cord are spinning with an angular velocity
Question:
The small particle of mass m and its restraining cord are spinning with an angular velocity ω on the horizontal surface of a smooth disk, shown in section. As the force F is slightly relaxed, r increases and ω changes. Determine the rate of change of ω with respect to r and show that the work done by F during a movement dr equals the change in kinetic energy of the particle.
m F
Step by Step Answer:
Engineering Mechanics Dynamics
ISBN: 9781118885840
8th Edition
Authors: James L. Meriam, L. G. Kraige, J. N. Bolton
Related Video
Angular movements are produced when the angle between the bones of joint changes. There are several different types of angular movements, including flexion, extension, hyperextension, abduction, adduction, and circumduction. Flexion, or bending, occurs when the angle between the bones decreases. Moving the forearm upward at the elbow or moving the wrist to move the hand toward the forearm are examples of flexion. The extension is the opposite of flexion in that the angle between the bones of a joint increase.
Students also viewed these Engineering questions
-
A small particle of mass m is pulled to the top of a frictionless half-cylinder (of radius R) by a cord that passes over the top of the cylinder, as illustrated in Figure P7.20. (a) If the particle...
-
A figure skater is spinning with an angular velocity of +15 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +5.1 rad. Determine (a) Her...
-
A particle of mass m and charge q is attached to a spring with force constant k, hanging from the ceiling (Fig. 11.19). Its equilibrium position is a distance h above the floor. It is pulled down a...
-
One of Red Clay's employee handbook sections covers employee monitoring. An employee filed a complaint with the HR department stating he opposes this monitoring and chooses to opt out. What legal...
-
Using the information in Table 5.2 (page 141), plot the Engel curve for pizza. Using the information in Table 5.3 (page 143), plot the Engel curve for beef. Do these curves slope upward or downward?
-
Kuntz Company has a project that requires an initial investment of $35,000 and has the following expected stream of cash flows: Year 1 ......... $25,000 Year 2 ......... 20,000 Year 3 ............
-
Mary Kay Morrow began working for Hallmark in 1982. At the beginning of 2002, Hallmark adopted the Hallmark Dispute Resolution Program, which required, among other things, that claims against the...
-
1. How would you describe the founding team of Fenton, Hoffer, and Le Tuan? Is it a balanced team? What does each member bring to the business? Can you see gaps in their skills and capabilities that...
-
Prove that f(xx, yy) = (i=1 (yy) (1/2) x) (i-1 (yy)(1/2)x}) where 1 and 2 refer to periods 1 and 2 respectively; satisfies the condition that: fk(ykx,ykk) = for all k=1,...K then f(yx,y)=\
-
A liquid mixture is prepared by combining N different liquids with densities p 1 , p 2 ,. .. .p N . The volume of component I added to the mixture is Vi and the mass fraction of this component in the...
-
The rigid assembly which consists of light rods and two 1.2-kg spheres rotates freely about a vertical axis. The assembly is initially at rest and then a constant couple M = 2 N m is applied for 5 s....
-
A particle with a mass of 4 kg has a position vector in meters given by r = 3t 2 i 2tj 3k, where t is the time in seconds. For t = 5 s determine the angular momentum of the particle and the moment...
-
In addition to monitoring weight gain, food consumed, and activity level, the study measured stress levels in the mice by measuring corticosterone levels in the blood (higher levels indicate more...
-
Problems have been building at Columbus Instruments, Inc. (CIC) (not its real name) for several years now with the new product development process. The last six high-visibility projects were either...
-
Click on the Web page for project teams at www.projectsmart.co.uk/five-steps-to-a-winning-project-team.php. Which of these five steps seem to be easier for a project manager to perform and which seem...
-
What is the time estimate of an activity in which the optimistic estimate is 4 days, pessimistic is 12 days, and most likely is 5 days? Show your work.
-
Go to https://www.youtube.com/watch?v=Fp9m4GNwGng to view a brief video on the Brazilian Jet manufacturer Embraer and their use of Critical Chain Project Management for maintenance services. How has...
-
Go to http://management.about.com/lr/project_time_ management/174690/1/ and click on Project Management on the left side of the screen. When you consider several of the articles on time management in...
-
Faith Cassen has recently been hired as the manager of Gibraltar Coffee Shop. Gibraltar Coffee Shop is a national chain of franchised coffee shops. During her first month as store manager, Faith...
-
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
-
In the structure in Figure P36a, six wires support three beams. Wires 1 and 2 can support no more than 1200 N each, wires 3 and 4 can support no more than 400 N each, and wires 5 and 6 can support no...
-
The equations describing the circuit shown in Figure P37 are a. The given values of the resistances and the voltage 1 are R 1 = 5. R 2 = 100, R 3 = 200, R 4 = 150, R 5 = 250 k, and 1 = 100V. (Note...
-
Many applications require us to know the temperature distribution in an object. For example, this information is important for controlling the material properties, such as hardness, when cooling an...
-
Here is a frequency distribution for a small data set: data freq 48 1 49 50 42 4 51 3 52 10 Find the following measures of central tendency. mean = 50.85 median = 6.5 I mode = 52
-
f(x+h)-f(x) Find the difference quotient where h0, for the function below. h f(x)=-4x+6x-6 Simplify your answer as much as possible. f(x + h) - f(x) h D X
-
Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. 3 43 210 2 3 4 5 -2
Study smarter with the SolutionInn App