A 4 kg block is attached to a vertical rod by means of two strings of equal length. When the system rotates uniformly about the axis of the rod, the strings are extended as shown in figure. If tension in upper and lower chords are 200 newton and 10x newton respectively and angular velocity of particle is 
than calculate value of x + y.
Text Solution
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x = 15, y = 35, x + y = 50 Ans.
Sol. Centripetal acceleration
m ω 2 r = T 1 cos θ + T 2 cos θ ....
apply Newton law in vertical direction
T 1 sin θ = mg + T 2 sin θ .....
given m = 4 kg, T 1 = 20 kgf = 200 N, r = 3m
cos θ = 
, sin θ = 
Put in equation
T 2 = 150 N = 10x Ans.
ω = 
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