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Three strings, in the horizontal plane, meet in a knot and are pulled with three forces such that the knot is held stationary. The tension in string 1 is T1 = 3 N. The angle between strings 1 and 2 is q12 = 130° and the angle between strings 1 and 3 is q13 = 120° with string 3 below string 1 as shown.

a) Find the tension in string 2.

Ans. Decomposed the tensions into there x and y components and found the tension T2 as. 2.75 N, which is correct.

b) Find the tension in string 3.

Did the same as a) and found T3 to be 2.44 N which is correct again.

A mass of 2 kg is now placed on the knot and supported by a frictionless table in the plane of the strings.

c) Find the acceleration of the mass if all the forces remain the same as above.

Ans. The forces remain the same, so the acceleration must be zero, which is correct.

d) If the sizes and directions of T2 and T3 remain the same, but T1 is increased by 1.4 N, what is the acceleration of the mass?

Ans. Stuck on this part ! Help me on this one. , what does the question mean when it says T2 and T3 the sizes and directions remain the same, does it mean T2 and T3 have same magnitude, I know T1 is increased in part d, which means new T1 would be orignal T1 + 1.4N which is 3.4 N , now.

How to setup the eqns here. PLEASE HELP ME

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# Homework Help: Three Pulling Strings

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