A metal can containing condensed mushroom soup has mass 220 g, height 11.2 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00 m long incline that is at 26.0° to the horizontal, and is then released to roll straight down. Assuming mechanical energy conservation, calculate the moment of inertia of the can if it takes 1.50 s to reach the bottom of the incline.
kg · m^2
Which pieces of data, if any, are unnecessary for calculating the solution?
1.the angle of the incline
2.the height of the can
3.the mass of the can
4.none of these
5.the time the can takes to reach the bottom

Solution Preview

We are told to find the moment of inertia of the can assuming mechanical energy conservation. Energy conservation tells us that the amount of energy possessed by a mass is always conserved (or a constant).
As the can is at rest, the energy of the body must be purely potential in nature. We have a formula to find the potential energy of masses sitting at a height h. It is

PE = m g h --------- (1)
where g is the acceleration due to gravity.

for this we need, m h and g, ...

Solution Summary

Answer and explanations are given as a Word attachment.

... The unit at A consists of a consists of a high torque geared motor which rotates link AB , in the ... Determine the velocity of unit A when Theta reaches 60 degrees ...

Rotation: tension and tangential velocity. ** Please see the attached file for the complete solution response **. Please provide me step by step solution. ...

... The velocities are needed in the conservation ... sign conventions: positive for counterclockwise rotation and positive ... conventions for the angular velocity w and ...

... Remember that upward motion corresponds to positive linear velocity, and counterclockwise rotation corresponds to positive angular velocity. v = r or = v/ ...

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity of 0.200 rev/s . The angular acceleration is 0.911 rev/s^2 . Its blades ...

... neighboring spokes (This is actually a spoke rotating to the position of its neighboring spoke). It has to travel 45 degrees with an angular velocity of (360o ...

... kg m2/s2 When a rotating body experience torque in the direction perpendicular to the direction of its angular velocity or angular momentum, the torque acting ...