Question

aestion 4 A block of mass m is suspended by two model strings numbered 1 and 2 that make angles of 14 and /3 to the horizontal respectively as shown in Figure Q4. Model the block as a particle. The magnitude of the acceleration due to gravity is g. 1 A m cora Figure 04 (a) Draw the force diagram, indicating all the forces acting on the block and choosing appropriate axes. (3 marks) (b) Apply vectors, write down the equations for all the forces acting on the particle. (4 marks) (c) Apply equilibrium, show that the magnitude for T1, the tension in string 1, is given by TIE2 mg T= 1+ 3 (5 marks) (d) Solve the magnitude for T2, the tension in string 2 (1 mark)

Answer 1

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y Mischer Ticar Tsinna & Tz sina T2 casa Ti cost 6 Fn Equivalent force rector P= ( 12 ust _ To cost) 1 + (Tisina + Tasing-maſ F. 1.- Haji + (n + Tava-mg) f fy component component for equilibrium fe component co and fy component to 2) I - II 2o and I + T2 83 _mgo & T2 = SET, 0 Til + + 5 ) = mg IT Itv5] ① T2 = Seti = 2 x 51 mg (13)

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