Reference no: EM13978475
Two circular wheels, the first of radius R and mass M and the second of radius r and mass m, are connected by a light, inextensible drive belt, Both wheels start from rest at t = 0 and an external torque is supplied to the first wheel so that it is given a constant angular acceleration of a1 (in the counter-clockwise, or positive, direction). The drive belt will not slip on either wheel, and first wheel will drive the second wheel. The wheels can be treated as disks of uniform density.
(a) Write down an expression for the angular displacement of the first wheel from its starting position after t seconds.
(b) What is the kinetic energy of the first wheel at t secodns?
(c) Find an expression for the angular acceleration of the second wheel, a2
(d) Find an expression for Tu-Tl the difference between the tensions in the upper (Tu) and lower (Tl) parts of the drive belt.
(e) What is the external torque on the first wheel that must be supplied to cause both wheels to rotate as described? Give your answer in terms of M, R, m, and a1.
|
What is the ratio of the kelvin temperature of gas
: If the average kinetic energy in one container is 9 x 10-21J, and in the second container is 2 x 10-21 J, what is the ratio of the Kelvin temperature of the higher KE gas to that of the lower KE gas?
|
|
What is the decision facing jetblue
: Marketing in Action Case - Real Choices at JetBlue. What is the decision facing JetBlue? What factors are important in understanding this decision situation? What are the alternatives
|
|
What is the charge on the outer surface of the inner shell
: In electrostatic equilibrium, what is the charge on the outer surface of the inner shell? In electrostatic equilibrium, what is the charge on the inner surface of the outer shell?
|
|
What is the probability that a randomly selected family
: What is the probability that a randomly selected family of four spends less than $480 per month? (Round your answer to 4 decimal places.)
|
|
What is the kinetic energy of the first wheel
: What is the kinetic energy of the first wheel at t secodns? Find an expression for the angular acceleration of the second wheel, a2.
|
|
Solve the problem by graphical method
: Whether to cut it into one 2 meter length, one 3 meter length and one 5 meter length. Model the problem as a linear programming problem.
|
|
Use theory and other evidence-based
: Based on the case study of Tina, students will use theory and other evidence-based support to analyze the situation, create an action plan, develop safeguards, practice implementation, and follow-up procedures. The essay will be written in APA format..
|
|
Calculate the power dissipation trough each resistor
: Consider the circuit shown in the figure. Note that only two currents are shown. Calculate the emfs (battery voltages) ε1 and ε3.
|
|
Why is it important in the study of learning
: Can repeated presentation of stimuli lead to less learning? Are stimuli that lead to no significant outcome ignored? What is this process called and why is it important in the study of learning?
|