Two identical wheels are moving on horizontal surfaces. The center of mass of ea

Question

Two identical wheels are moving on horizontal surfaces. The center of mass of each has the same linear speed. However, one wheel is rolling, while the other is sliding on a frictionless surface without rolling. Each wheel then encounters an incline plane. One continues to roll up the incline, while the other continues to slide up. Eventually they come to a momentary halt, because the gravitational force slows them down. Each wheel is a disk of mass 2.75 kg. On the horizontal surfaces the center of mass of each wheel moves with a linear speed of 5.15 m/s. (a),(b) What is the total kinetic energy of each wheel? (c), (d) Determine the maximum height reached by each wheel as it moves up the incline.

Explanation / Answer

a. 1/2*m*v^2= 36.47 J
b. In everyway, it is the same as (a) so 36.47J 

c. The max height reached by the one without friction is 1.353 m because 36.47=m*g*h; this measurement is only in the y direction.
d. the rollong wheel I believe follows the same principle, but you have to subtract friction, because it is not given I can't solve this part, but, assuming the wheel was rollong on a frictionless plane, it would be the same as it is with (c) and thus 1.353 m, but I'm not 100% sure about this part, 99% certain the other 3 are right though.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.