coz 2013 2014 block 1(1)

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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: =

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Page 1: Coz 2013 2014 block 1(1)

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

Page 2: Coz 2013 2014 block 1(1)

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

Page 3: Coz 2013 2014 block 1(1)

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

Page 4: Coz 2013 2014 block 1(1)

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

Page 5: Coz 2013 2014 block 1(1)

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

Page 6: Coz 2013 2014 block 1(1)

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

Page 7: Coz 2013 2014 block 1(1)

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

Page 8: Coz 2013 2014 block 1(1)

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

Page 9: Coz 2013 2014 block 1(1)

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