Question

A triangular plate ABC is free to rotate about two points A and B on smooth horizontal floor. A force F is applied perpendicular to AB so as to rotate the plate about A and B separately. If α₁&α₂ are the corresponding acceleration for the cases then $\frac { \alpha _ { 1 } } { \alpha _ { 2 } }$ will be

• A. 1
• B. < 1
• C. > 1
• D. Dependent on the force and the dimensions of the

Answer 1

Answer: (C)

> 1

Answer 2

The torque applied in both cases are equal in magnitude, that is equal to rF

Therefore $\tau _ { 1 } = \tau _ { 2 } = \mathrm { rF }$

⇒ $\mathrm { I } _ { \mathrm { A } } \alpha _ { 1 } = \mathrm { I } _ { \mathrm { B } } \alpha _ { 2 }$

⇒

Since