4 (a) Define moment of a force. (b) An arrangement for lifting heavy loads is shown in Fig. 4.1. 60 wall B beam 2.8mm/ 30 load 500 N 4000 N Fig. 4.1 A uniform metal beam AB is pivoted on a vertical wall at A. The beam is supported by a wire joining end B to the wall at C. The beam makes an angle of 30 with the wall and the wire makes an angle of 60 with the wall. The beam has length 2.8m and weight of 500 N. A load of 4000 N is supported from B. The tension in the wire is T. The beam is in equilibrium. (1) By taking moments about A, show that Tis 2.1 kN. [2] (II) Calculate the vertical component T, of the tension T. T₁ = . N[1] (ii) State and explain why T, does not equal the sum of the load and the weight of the beam although the beam is in equilibrium. ..121

Glencoe Physics: Principles and Problems, Student Edition
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Chapter8: Rotational Motion
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4 (a) Define moment of a force.
(b) An arrangement for lifting heavy loads is shown in Fig. 4.1.
60
wall
B
beam
2.8mm/
30
load
500 N 4000 N
Fig. 4.1
A uniform metal beam AB is pivoted on a vertical wall at A. The beam is supported by a wire
joining end B to the wall at C. The beam makes an angle of 30 with the wall and the wire
makes an angle of 60 with the wall.
The beam has length 2.8m and weight of 500 N. A load of 4000 N is supported from B. The
tension in the wire is T. The beam is in equilibrium.
(1) By taking moments about A, show that Tis 2.1 kN.
[2]
(II) Calculate the vertical component T, of the tension T.
T₁ = .
N[1]
(ii) State and explain why T, does not equal the sum of the load and the weight of the beam
although the beam is in equilibrium.
..121
Transcribed Image Text:4 (a) Define moment of a force. (b) An arrangement for lifting heavy loads is shown in Fig. 4.1. 60 wall B beam 2.8mm/ 30 load 500 N 4000 N Fig. 4.1 A uniform metal beam AB is pivoted on a vertical wall at A. The beam is supported by a wire joining end B to the wall at C. The beam makes an angle of 30 with the wall and the wire makes an angle of 60 with the wall. The beam has length 2.8m and weight of 500 N. A load of 4000 N is supported from B. The tension in the wire is T. The beam is in equilibrium. (1) By taking moments about A, show that Tis 2.1 kN. [2] (II) Calculate the vertical component T, of the tension T. T₁ = . N[1] (ii) State and explain why T, does not equal the sum of the load and the weight of the beam although the beam is in equilibrium. ..121
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