1. The boom of the wall crane 4m long is held at right angles to the wall by a wire that is attached to the wall 3m above the foot of the boom. If the load lifted is 45000N, find the tension in the wire and the compression force in the boom Neglect the weight of the boom.

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Chapter1: Units, Trigonometry. And Vectors
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PROGRESS CHECK:
1. The boom of the wall crane 4m long is held at right angles to the wall by a wire that is attached
to the wall 3m above the foot of the boom. If the load lifted is 45000N, find the tension in the
wire and the compression force in the boom Neglect the weight of the boom.
2. A square is acted upon by the forces of 4, 6, 8, and 12N respectively along the four sides as
shown. If the length of the side of the square is 0.5m, what is the resultant torque acting to rotate
the square about an axis through A?
|6N
4N
A
12N
8N
3. Two people carry a heavy electric motor by placing it on a light board 2.00 m in length. One
person lifts at one end with a force of 700N, and the other lifts the opposite end with a
force of 500N. What is the weight of the motor, and where along the board is its center of
gravity located? (Note: The center of gravity of an object is the point where the weight
passes through.)
4. A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30°
with the wall. A 70ON man stand 6m up from the bottom of the ladder. Find the horizontal
force necessary at the base to keep the ladder from slipping.
Transcribed Image Text:PROGRESS CHECK: 1. The boom of the wall crane 4m long is held at right angles to the wall by a wire that is attached to the wall 3m above the foot of the boom. If the load lifted is 45000N, find the tension in the wire and the compression force in the boom Neglect the weight of the boom. 2. A square is acted upon by the forces of 4, 6, 8, and 12N respectively along the four sides as shown. If the length of the side of the square is 0.5m, what is the resultant torque acting to rotate the square about an axis through A? |6N 4N A 12N 8N 3. Two people carry a heavy electric motor by placing it on a light board 2.00 m in length. One person lifts at one end with a force of 700N, and the other lifts the opposite end with a force of 500N. What is the weight of the motor, and where along the board is its center of gravity located? (Note: The center of gravity of an object is the point where the weight passes through.) 4. A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30° with the wall. A 70ON man stand 6m up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.
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