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Hi, so i have to find T1, can some1 help?

Hi, so i have to find T1, can some1 help?-example-1
User Mahdi Yousefi
by
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1 Answer

19 votes
19 votes

30.1 N

Step-by-step explanation:

Given:


W_1 = 16\:\text{N}


W_2 = 8\:\text{N}

Let's write the components of the net forces at the intersections. Note that the system is equilibrium so all the net forces are zero.

Forces involving W1:


x:\:\:\:-T_1 + T_3\cos \alpha = 0\:\: \\ \text{or}\:\:T_2 = T_3\cos \alpha\:\:\:\:\:(1)


y:\:\:\:T_3\sin \alpha - W_1 = 0\:\:\: \\ \text{or}\:\:\:T_3\sin \alpha = W_1\:\:\:\:\:\:(2)

Forces involving W2:


x:\:\:\:T_1\sin 53 - T_3\sin \alpha = W_2\:\:\:\:\:\:\:(3)


y:\:\:\:T_4 - T_1\cos 53 - T_3\cos \alpha = 0\:\:\:\;(4)

Substitute (2) into (3) and we get


T_1\sin 53 - W_1 = W_2

Solving for
T_1,


T_1 = (W_1 + W_2)/(\sin 53) = 30.1\:\text{N}

User Roja Buck
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