Practice Exam 3 for University Physics I | PHYS 2050, Exams of Physics

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PHYS-205 (5) (Kaldon-19298)

Name ______________________________________________

Exam 3 - 100,000 points + 20,000WMU - Spring 2000

(^)
(^) points

http://homepages.wmich.edu/~kaldon/

6/08/2000•Rev.0 4/01/02r

State Any Assumptions You Need To Make – Show All Work – Circle Any Final Answers Use Your Time Wisely – Work on What You Can – Be Sure to Write Down Equations

Feel Free to Ask Any Questions

2a

2b

2c

2e

Can Physics Be Art?

(35,000 points)

(a) Draw the Free Body Diagram of the rod & cylinder statue and (b) set upof mass 55.0 kg, as shown. The rod is attached to a bracket mounted on the ground.0.305 m and length 1.00 m, and mass 85.0 kg – attached to a solid rod 1.52 m long 1.) An artist creates a new statue for WMU. It consists of a solid cylinder of radius

but do

not solve

(^) the Sum of Forces equations.

How might you solve it?(c) Draw a Free Rotation Diagram of the rod & cylinder statue. Is there a problem with this diagram?

Hint: What if the rod were longer?

negative there must be something to provide a If you set the pivot at the base,

torque to kill the rotation.

(e) Why must the bracket exert a torque on the rod to keep the statue from falling over?through the bracket mounted on the ground. (d) Find the Moment of Inertia of the statue about an axis parallel to the center of the cylinder, that goes

Short answer!

Odds and Ends

(30,000 points)

2.)

(a) A plate of mass m = 5.00 kg has sides a = 0.480 m. Find the center of

mass coordinate

(^) x cm (^) by integrating

(^) x

M

x dm

cm (^)

z

.

(b) A plate of mass m = 5.00 kg has sides a = 0.480 m. Find the center of mass

coordinate

(^) y cm (^) by integrating

(^) y

M

y dm

cm (^)

z

.

Physics 205 / Exam 3

Spring 2000

Page 2

(c) A plate of mass m = 5.00 kg has dimensions a = 0.480 m. Find the moment

of inertia

I

(^) of the plate about an axis along the mid-line as shown, by integrating

I

r dm

z^

(^2)

.

(d) If a bolt is tightened clockwise, then does

point

(^) into

(^) or (^) out of

(^) the paper?

Use Right Hand Rule to explain your answer. (e) A torque

to tighten a bolt consists of a force being applied at a distance from the axis of rotation.

function of angle is given byAs the bolt gets tighter, it gets harder and harder to turn the bolt, so the magnitude of the torque as a

= C



(^3) where C is some constant with appropriate units. If the total work^

Ends and Odds done by applying this torque through two complete revolutions is 1500. J, then find C.

(35,000 points)

(c) A real pulley, made of a 1.50 kg solid disk 0.150 m insliding.(b) Find the speed of the ball at the bottom of the ramp if there is friction and the ball rotates withoutrotating.at the bottom of the ramp if there is no friction and the ball slides withoutan inclined plane 0.400 m above the ground. (a) Find the speed of the ball 3.) A hollow ball of mass 0.838 kg and radius 0.135 m starts out on at rest

(^) diameter

, is attached to two

masses, m

(^1) = 10.0 kg and m

(^2) = 15.0 kg, which are initially at rest. Find the

acceleration of the two masses, a

(^1) and a

(^2) , and the angular acceleration of the pulley,



.

(d) Find



(^) and

(^)  (^) of the pulley after 2.00 seconds.

If you did not get an answer to (c),

use (^)
(^) = 1.23 rad/s².

the wreck travel?which is parked on the side of the road. In a totally inelastic collision, how fast doesfigure out how the CD player works, he plows into Jane’s new 1850 kg four-door, (e) John is driving his brand new 1125 kg sports car at 25.2 m/s. While trying to