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Question

A ball of mass 1 kg hangs in equilibrium from two strings OA and OB as shown in the figure. What are the tensions in strings OA and OB? (Take g=10 ms2)


  1. 5 N, zero
  2. zero, N
  3. 5 N,53 N  
  4. 53 N,5 N


Solution

The correct option is C 5 N,53 N  
Taking the componet of T1 and T2 in x and y direction

Fy=0
T1sin300+T2sin600=10
T12+3T22=10(1)
Fx=0
T1cos300=T2cos600
3T12=T22
T1=T23(2)
Substitute T1 in equation 1
T223+3T22=10
T2+3T2=203
T2=53 N
and T1=5 N

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