Question

If it oscillates with angular displacement ${\theta }_1$. What is tension in the string T at an angular displacement$({\theta }_2<{\theta }_1)$

• A. $T=mgcos{\theta }_2$
• B. $T<mgcos{\theta }_2$
• C. $T\ge mgcos{\theta }_2$
• D. $T>mgcos{\theta }_2$

Answer 1

The correct option is D $T>mgcos{\theta }_2$

Force equation for any ${\Theta }_2<{\Theta }_1$

$T-mgcos{\Theta }_2=m{\omega }^{2}R$

$T=mgcos{\Theta }_2+m{\omega }^{2}R$

Hence $T>mgcos{\Theta }_2$