PHYSICS CHAPTER 4 SECTION 4 Worksheet 1

516 downloads 2211 Views 33KB Size Report
PHYSICS CHAPTER 4 SECTION 4 Worksheet 1. Name. Block. 1. A steel beam of uniform cross section weighs 2.5 X 10. 5. Newton's. If it is 5 meters long, what ...
PHYSICS CHAPTER 4 SECTION 4 Worksheet 1 Name Block A steel beam of uniform cross section weighs 2.5 X 10 Newton's. If it is 5 meters long, what force is needed to lift one end 5 of it? (Answer 1.25 X 10 Newton's) 5

1.

cm

2.5m Pivot Point

2.

Fa

2.5m

2.5 X 105 N

A bar 4.0 meters long weighs 400 Newton's. Its center of mass is 1.5 meters from one end, a weight of 300 Newton's is attached at the heavy end and a weight of 500 Newton's is attached at the light end. What are the magnitude, direction and point of application of the force needed to achieve transitional and rotational equilibrium? (Answer 2.17 m from pivot end or 1.84 m form other end) 4m 1.5m

2.5m

cm

Pivot Point

400 N

500 N

300 N

3.

A painter weighing 875 Newton's stands on a plank 3 meters long, which is supported at each end by a stepladder. The plank weighs 223 Newton's. If the painter stands 1 meter from one end of the plank, what force does each end of the ladder exert? (Answer 403.2 Newton's on ladder A, and 694.8 Newton's on ladder B) 3m 1m

cm

1.5m

223 N Pivot Point

4.

875 N

A bricklayer weighing 800 Newton's stands 1 meter from one end of a scaffold 3 meters long. The scaffold weighs 750 Newton's. A pile of bricks weighing 320 Newton's is 1.5 meters from the other end of the scaffold. What force must be exerted on each end of the scaffold in order to support it? (Answer 1068.3 Newton’s and 801.7 Newton's) 3m 1m

1.5m cm 320 N

Pivot Point

800 N 750 N 5

4

The bridge AB as shown below is 36.5 meters long. It weighs 2.56 X 10 Newton's. A truck weighing 5.25 X 10 Newton's is 10.2 meters from one end of the bridge. Calculate the upward force that must be exerted by each pier to support this 5 5 weight. (Answer 1.427 X 10 Newton's and 1.658 X 10 Newton's)

5.

36.5m Pivot Point

4

5.25 X 10 N A

10.2m from A

2.56 X 10 5 N

26.3m from B 18.25m from A or B

B

PHYSICS CHAPTER 4 SECTION 4 Worksheet 1 6.

A bar 5 meters long has its center of mass 1.5 meters from the heavy end. It is place on the edge of a block 1.5-meter from the light end and a weight of 750 Newton's is place on the bar at the light end, it will be balanced. What is the weight of the bar? (Answer 562.5 Newton's) 5m Heavy End

cm

Light End

1.5m

2m

1.5m Pivot Point 750N

7.

A uniform bar 25 meters long weighs 10,000 Newton's. From end A weight of 2500 Newton's is hung. At B the other end of the bar, there is a weight of 3500 Newton's. An upward force of 3000 Newton's is exerted 4 meters from B, while and upward force of 4000 Newton's is exerted 8 meters from A. Determine the magnitude, direction and point of application of the force needed to establish transitional and rotational equilibrium. (Answer 9000 Newton's upward 12 meters from B) 25m 4000N 8m

A

2500N

3000N 4m

cm

B

12.5m

Pivot Point

3500N 10000N

8.

Find the torque's exerted on the rod in the drawing below. Also find the magnitude and direction of the additional force that must be exerted at the right end, perpendicular to the rod, in order to prevent rotational equilibrium. (Answer 194.55 N) 6m

200N Fy

100N 45o

60o

Pivot Point 2m 150N

Fy

1m

100N