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.

A. What is the relationship between the radius and the velocity of a rotating object?
B. What is the relationship between the velocity of a rotating object and the centripetal force exerted on it?
C. The Moon orbits Earth at a distance of about 3.84 × 10^8 m in a path that takes 27.3 days to
complete. What is the c

A variable torque is applied to a rotating wheel at t = 0 and causes the clockwise angular acceleration (alpha) to increase linearly with the clockwise angular displacement (theta) of the wheel during the next 30 revolutions.
when theta is 0, alpha is 10 rads/sec^2.
when theta is 30 revs, alpha is 20 rds/sec^2, and the angul

Please see attached.
1. The two spheres of equal mass m are able to slide along the rotating horizontal black rod. If they are initially latched in position a distance r from the axis of rotation with the assembly rotating freely with an angular velocity of Wo.
Determine the new angular velocity Wf after the spheres are rele

Assume a rotating (angular velocity W) metal disk located in the x-y plane with a constant magnetic field B perpendicular to the disk.
A circuit containing a resistor is connected between the spindle (axis) the disk rotates on and a spring contact that is in contact with the outer edge of the disk.
What is the current flo

Given the radius of a proton is approximately 1x10^-15m, assume that it is a rotating, uniformly charged sphere with a magnetic moment of 4.5x10^-26 J/T.
a) First demonstrate that J/T is equivalent to Am^2
b) What is the approximate angular frequency of the proton?

For what initial velocity and direction of the puck will it (the puck) appear motionless when viewed from above (ie the motionless reference frame).
See attached file for full problem description.
Note for clarification. The initial position refers to the puck is: (x = -.5R, y = 0)

Find the linear velocity of a point on the edge of a drum rotating 52 times per minute. The diameter of the wheel is 16.0in. Please show me all the steps thank you

A thin, uniform 12.0-kg bar that is 2.00 m long rotates uniformly about a pivot at one end, making 5.00 complete revolutions every 3.00 seconds.
What is the kinetic energy of this bar? (Hint: Different points in the bar have different speeds. Break the bar up into infinitesimal segments of mass dm and integrate to add up the

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s/s. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?