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ut is wheel.( body come from to enable you lU lift more than 650 N using the whe

ID: 1788774 • Letter: U

Question

ut is wheel.( body come from to enable you lU lift more than 650 N using the wheelbarrow? 11.17 A 9.00-m-long uniform beam is hinged to a wall and held horizontally by a 5.00-m-long cable wall 4.00 m above the hinge (Fig. E11.17). The metal of this the has a test strength of 1.00 kN, which means that it will break io tension in it exceeds that amount. (a) Draw a free-body dia the beam. (b) What is the heaviest beam that the cable can su in this configuration? (C) Find the horizontal and vertical c erti attached to the gram of pport e vertical component upward or downward? Figure E11.17 and ble ex- 5.0 m cable 4.0 m 11.18 A 15,000-N crane pivots around a friction-free its base and is supported by a cable making a crane (Fig. E11.18). The crane is 16 m long and is its center of gravity beins 70m from th rla axle at 25° angle with the hd is not uniform measured along

Explanation / Answer

Sum the torque about the hinge to determine the weight of thebeam:

= 0 = T*(52 - 42)*(4/5) -W*4.5

The tension in the cable will be 1000N with the heaviest beam:

W = 1000*(25-16)*(4/5) / 4.5 = 533.33 N

The horizontal component of the hinge can be determined by summingthe forces in the horizontal direction:

Fx = 0 = Fx -T*(52-42) / 5

Fx = 600 N

The vertical component of the hinge can be determined by summingthe forces in the vertical direction:

Fy = 0 = Fy + T*(4/5)- W

Fy = -266.67 N

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