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plz answer this questions

Asked by Umesh 1st December 2017, 9:43 AM
Answered by Expert
Answer:
Let the Tension in the two strings be T1 and T2. Resolved vertical component balances the weight of the ball.
Resolved horizontal component provides centripetal force.
 
Hence for vertical direction T1 cos30 + T2 cos45 = mg 
 
(√3/2) T1 + (1/√2) T2 = 5×9.8 = 49 
 
multiply the above eqn. by 2√2, we will get
√6T1 + 2 T2 = 49 .................................................(1)
 
 Horizontal direction:- T1 sin30 + T2 sin45 = mv2/r = 5v2/1.6= 3.125v2
 
(1/2)T1 + (1/√2) T2 = 3.125v2
multiply by 2√2, we will get
 
√2T1 + 2T2 = 3.125v2  .........................................(2)
 
(1) - (2) gives (√6-√2) T1 = 49 - 3.125v2 ......................(3)
To make LHS of (3) positive 3.125v2 < 49.  Hence v < 3.96 

 

Answered by Expert 1st December 2017, 4:08 PM
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