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A particle of weight 8 N is attached at C to the ends of two light inextensible strings AC and BC - Edexcel - A-Level Maths Mechanics - Question 2 - 2013 - Paper 1
Question 2
A particle of weight 8 N is attached at C to the ends of two light inextensible strings AC and BC. The other ends, A and B, are attached to a fixed horizontal ceilin... show full transcript
Worked Solution & Example Answer:A particle of weight 8 N is attached at C to the ends of two light inextensible strings AC and BC - Edexcel - A-Level Maths Mechanics - Question 2 - 2013 - Paper 1
Step 1
Find (i) the tension in the string AC.
Answer
To find the tension in string AC, we sum the vertical forces acting on the particle.
Since it is in equilibrium:
egin{equation} T_{AC} imes rac{1}{ ext{sin}(35^ ext{o})} - 8 ext{ N} = 0
dwhere T_{AC} = ext{tension in string AC}
\ ext{Therefore, } T_{AC} = 8 ext{ N} imes ext{sin}(35^ ext{o})
\ ext{Calculating this gives: } T_{AC}
\ ext{Find } T_{AC} ext{ for the exact value.}
Step 2
Find (ii) the tension in the string BC.
Answer
We apply a similar approach to find the tension in string BC. For the vertical forces:
egin{equation} T_{BC} imes ext{sin}(25^ ext{o}) = 8 ext{ N}
dwhere T_{BC} = ext{tension in string BC}
\ ext{Thus, } T_{BC} = rac{8 ext{ N}}{ ext{sin}(25^ ext{o})}. \ ext{Calculate for the exact value of } T_{BC}.