A 40 kg sphere suspended by a thread of legnth 1 is oscillating in a vertial plane, the angular amplitude being theta_(0). What is the tension in the thread when it makes an angle theta with the vertical during oscillations? If the thread can support a maximum tension of 80 kg-f, then what can be the maximum angular amplitude of oscillation of the sphere without breaking the rope?

A 40 kg sphere suspended by a thread of legnth 1 is oscillating in a v

1.	A 40 kg sphere suspended by a thread of legnth 1 is oscillating in a vertial plane, the angular amplitude being theta_(0). What is the tension in the thread when it makes an angle theta with the vertical during oscillations? If the thread can support a maximum tension of 80 kg-f, then what can be the maximum angular amplitude of oscillation of the sphere without breaking the rope?
Answer» `3mg COS theta-2mg cos theta_(0),theta_(0)=60^(@)` `3mgcos theta+2mg cos theta_(0),theta_(0)=60^(@)` `2mgcos theta-3mg cos theta_(0),theta_(0)=30^(@)` `2mgcos theta+3 MG cos theta_(0),theta_(0)=30^(@)` ANSWER :A