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Grade: 11
        Consider the situation of the previous problem. (a) Find the tension in the string in equilibrium. (b) Suppose the ball is slightly pushed aside and released. Find the time period of the small oscillations.
5 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
							(a) Tension in the string in Equilibrium
T cos 60° = mg 
⇒ T = mg/cos 60° = 10 * 10^-3 * 10/1/2 = 10^-1 * 2 = 0.20 N
(b) Straingtening the same figure
Now the resultant for ‘R’
Induces the acceleration in the pendulum.
T = 2 * π √ℓ/g = 2π √ℓ/[g^2 +(σq/2ε base 0m)^2]^1/2 = 2π √ℓ/[100 +(0.2 * √3/2 * 10^-2)^2]^1/2
= 2π √ℓ/(100 + 300)^1/2 = 2π √ℓ/20 = 2 * 3.1416 * √10 * 10^-2/20 = 0.445 sec.

						
5 years ago
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