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# LPH 105 W15 8.7

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## Richard Datwyler

on 6 June 2016

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#### Transcript of LPH 105 W15 8.7

Energy conservation

Rotational Kinetic energy
initial energy = final energy
Work
used mostly for frictional forces
Review Dynamics problems
Often relate angular to linear terms
Calculate the speed of a cylinder that rolls down a incline that is 4.5 m high without slipping.
How far up a 20 degree ramp will a solid sphere roll, if its speed is 10 m/s at the base of the ramp?
A 2.5 kg disk with a radius of .75 m rotates at a rate of 25 rad/s. If a tangential force of 2 N is applied to the outside edge, how many revolutions will the disk make before stopping?
A 1.5 kg mass hangs from the end of a string that is wrapped around a 2.5 kg 10 cm diameter pulley, whose bearing give a frictional torque of .35 N m. How fast will the mass be moving when it has fallen 50 cm?
7.67 m/s
20.9 m
A 2.5 kg mass is at the end of a 2 m massless rod, that pivots on the opposite side of the mass.
If the rod is initially horizontal, what is the angular acceleration right after it is released?
What is the speed of the mass when it has fallen through 90 degrees?
repeat with the rod having a mass of 1.5 kg.
A 2 kg triangle hangs by a massless rope around a 3 kg, 10 cm radius, frictionless pulley and is attached to a 4 kg block having a kinetic coefficient of .25.
how fast is the block moving when it has been pulled 50 cm?
23.3 rev
1.67 m/s