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M2~Rigid Body Equilibrium Assignment

發問:

A uniform rod AB of mass 20kg and length 1m is smoothly hingrd to a wall at A. AB makes an angle of 40度 to the downward vertical. The rod is held in this position by a light string acting at B, at an angle of 50度 to the upwards vertical. Find the magnitude of the tension in the string.

最佳解答:

圖片參考：http://i263.photobucket.com/albums/ii157/mathmate/math/RigidBody.jpg Figure 1 Here there are three forces acting on the rigid bar, namely the reactions at A, the weight of the bar W=20 kg, and tension T of the rope at B. The problem can be easily solved by taking moments about A, in which case we eliminate the unknown forces due to reactions. Anti-Clockwise moments=TLsin(90) Clockwise= 20Lsin(40)/2 So by equating and simplifying, TLsin(90) = 20Lsin(40)/2 T=20sin(40)/sin(90)/2 =6.428 kg

其他解答:6FE1C172E25AFD66