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Unformatted text preview: (70 pts) PROBLEM 1A. 2 of S Last Name W PH 1110; A98; Exam 4a A uniform beam of length L = 4.00 m
and weight mlg = 500 N supports a
weight ng = 900 N at one end. The
beam is held in equilibrium by a
hinge at one end and a guy wire in
the middle, as shown. a) Draw a freebody diagram for the
beam, showing all forces acting
on it. Label each force with an
appropriate symbol. ‘ x.\,_\\\\\\ b) By application of the conditions of equilibrium, write down specific
equations that will allow determination of 311 unknown forces acting on
the beam. Use the symbols, numbers, and angles specified in the figure
above and in your Part (a). DO NOT BOTHER TO SOLVE for the unknowus!!! 3 of 5
PH 1110; A98; Exam 4a Last Name (30 pts) PROBLEM 1B. 2A! J”
\I A disk free to rotate about a fixed, F1 75"]
frictionless, horizontal axle has a radius R = 0.800 m and an inner hub
of radius R/2. Constant forces of
magnitude Fl = 2.00 N and F2 = 5.00 N are applied to the disk as shown. The
disk is released from rest at t = 0. and the forcas act for a time duration of 4.00 s. The angular acceleration of
the disk is measured to be 0.600 rad/32. a) Determine the moment of inertia I §§:.o‘?CJO\m
of the disk. 000:0
(«p @900 '14; b) Calculate both the angular sEeed of the disk at the end of this time interval
AND the angle through which it turns. c) Calculate the Work done on the disk by force Fl during this 4sec interval. 4 of 4
PH 1110; A98; Exam 4a (20 pts) PROBLEM 2A. A uniform meter stick of mass m = 0.120 kg {'E>O“A
and pivoted about a horizontal, frictionless /’\~«”~"“x
axle located at one end of the stick, is €:::::::::::::§
released from a horizontal position at t = O
with an initial angular speed of 3.00 rad/s. kw 23:214 0 _..
a) Calculate the work done on the stick by 5 the force of gravity as the stick swings freely down to the vertical
position. b) Calculate the angular speed the stick has when it reaches the vertical. ;
i
K
S 5 of 5
PH 1110; A98; Exam 4a Last Name (30 pts) PROBLEM 23. A large horizontal turntable of R = 4.00 m and moment of inertia Io = 1200 kg~m2
is initially rotating with an angular speed UJO . A 90.0 kg person, initially
hanging from a tree branch just above the turntable at a distance r = 2.00 m
from the rotation axis, drops straight down onto the surface and sticks to that point. After the person lands on the turntable, the whole system is observed to rotate CCW at an angular speed of 0.500 rad/s. (You are to treat
the e n as a ' t b‘ .
p rso pom o Ject ) TOP We“ a) Determine the rotational speed ‘60
of the turntable just before UK/
the person dropped onto its surface. Iocllookﬁlwt b) The person now walks to a point on the turntable that makes the rotational
speed as small as possible. State where this location is, and calculate
the new angular speed of the turntable + person system. c) Calculate the work done on the turntable during the movement of the person
described in Part (b). ...
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This note was uploaded on 10/25/2010 for the course PH 1110 taught by Professor Kiel during the Spring '08 term at WPI.
 Spring '08
 Kiel
 mechanics

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