Answered: A cylinder of mass 8.0 kg rolls without… | bartleby

Related questions

Question

A cylinder of mass 8.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed of 5.0 m/s.
(a) Determine the translational kinetic energy of its center of mass.
(b) Determine the rotational kinetic energy about its center of mass.
(c) Determine its total energy.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A person of mass 73 kg stands at the center of a rotating merry-go-round platform of radius 2.5 mm and moment of inertia 900 kg⋅m2. The platform rotates without friction with angular velocity 0.90 rad/s. The person walks radially to the edge of the platform. Calculate the angular velocity when the person reaches the edge. Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)
You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules)?(take into account both the translational and rotational motion.)
A uniform solid ball rolls without slipping down a plane which is inclined at 31° to the horizontal. If the ball has a radius r=0.4m, a mass m=0.1 kg and starts from rest, find: a) the speed of the ball after it travels 2m down the incline. b) at this point, what is the angular momentum of the ball? c) If the coefficient of friction between the ball and the plane is 0.25, what is the maximum angle of inclination that allows the ball to roll without slipping?
A solid brass ball with radius r = 10cm rolls smoothly from the top of the roof that is 6m long and inclined 20°.Using energy conservation law, calculate a) the angular velocity of the ball at the edge, b) the velocity of the centerof mass of the ball at the same moment. The moment of inertia of a solid sphere rotated about its center isI=2/5MR2
A uniform, solid sphere of radius 5.75 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 2.75 m long, and is tilted at an angle of 27.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v2 at the bottom of the ramp.
Two wheels are connected by a belt that does not slip. The smaller wheel has a diameter D, while the bigger wheel has a diameter that is 4.00 times bigger. Calculate the ratio of the moments of inertia if the two wheels have: i) the same angular momentum about their rotation axes. ii) the same rotational kinetic energy.
Assume mars is a uniform solid sphere of mass 6.42x10^23 kg and a radius 3390 km.The length of a day on mars is 24 hours and 37 min. What is the rotational kinetic energy of the planet about its axis.
A uniform solid sphere of mass 12.0 kg and radius 7.0 cm rotates at 300 revolutions per minute (rpm) on an axis passing through its center. Calculate: a) Its moment of inertia b) Its rotational kinetic energy c) The angular momentum (L), that is, the magnitude of the product Iw, in the appropriate IS units d) Based on the general definition of the moment of inertia (I = Mr²), determine the radius of gyration of the sphere around the axis that passes through its center.
A solid sphere rolls down an incline without slipping. At any instant while in motion, what is the ratio of its rotational kinetic energy about its center of mass to its total kinetic energy?
A person of mass 79 kg stands at the center of a rotating merry-go-round platform of radius 2.8 m and moment of inertia 890 kg⋅m2. The platform rotates without friction with angular velocity 0.95 rad/s. The person walks radially to the edge of the platform. Calculate the angular velocity when the person reaches the edge then calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk. Express your answers using three significant figures. For the second half, use two significant figures and enter your answers numerically separated by a comma.