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2013/2014 - COZ Block 1 - Problem 1
Part A
If = 820 and = 42 , determine the direction of the resultant force measured counterclockwise from the
positive x-axis.
Express your answer with the appropriate units.
ANSWER:
FA N θ ∘
= α
2013/2014 - COZ Block 1 - Problem 2
Part A
If the resultant force is directed along a line measured 23 counterclockwise from the positive x-axis and
the magnitude of is to be a minimum, determine the magnitude of .
Express your answer with the appropriate units.
ANSWER:
Part B
Determine the magnitude of .
Express your answer with the appropriate units.
ANSWER:
FR∘
F2 FR
= FR
F2
= F2
2013/2014 - COZ Block 1 - Problem 3
The railway crossing gate consists of the 95- gate arm having a center of mass at and the 275-
counterweight having a center of mass at .
Part A
Determine the magnitude and directional sense of the resultant moment produced by the weights about point .
Express your answer to three significant figures and include the appropriate units.
ANSWER:
kg Ga kgGW
B
= MB
2013/2014 - COZ Block 1 - Problem 4
The connected bar is used to increase the lever arm of the crescent wrench as shown.
Part A
If a clockwise moment of = 113 is needed to tighten the bolt at and the force = 225 ,
determine the required extension in order to develop this moment.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
BC
MA N ⋅ m A F Nd
= d
2013/2014 - COZ Block 1 - Problem 5
Two couples act on the beam.
Part A
Determine the magnitude of so that the resultant couple moment is 595 , counterclockwise.
Express your answer with the appropriate units.
ANSWER:
F N ⋅ m
= F
2013/2014 - COZ Block 1 - Problem 6
The two forces can be replaced by an equivalent resultant force and couple moment at point . The
resultant moment about O in the situation shown is 29 counterclockwise.
Part A
What is the magnitude of ?
Express your answer with the appropriate units.
ANSWER:
FR MROO
=MRON ∗ m
F
= F
2013/2014 - COZ Block 1 - Problem 7
Part A
Determine the magnitude of the horizontal component of the equilibrium force exerted along link AB by
the tractive apparatus shown. The suspended mass is 13 . Neglect the size of the pulley at A.
Express your answer with the appropriate units.
ANSWER:
FAB
kg
= F horAB
2013/2014 - COZ Block 1 - Problem 8
Part A
Determine the required magnitude of force if the resultant couple moment on the frame is 205 ,
counterclockwise.
Express your answer with the appropriate units.
ANSWER:
F N ⋅ m
= F
2013/2014 - COZ Block 1 - Problem 9
Replace the force and couple moment system acting on the overhang beam by a resultant force.
Part A
Specify its location along measured from point .
Express your answer with the appropriate units.
ANSWER:
AB A
= d