JEE Main 202117 MarchMorning Shift
- Exam
- JEE Main
- Year
- 2021
- Date
- 17 March
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Rotational Motion
JEE Main 2021 · 17 March · Morning Shift · Physics · Rotational Motion
A triangular plate is shown. A force → F = 4 ^ i - 3 ^ j is applied...
A triangular plate is shown. A force \overset{\to}{F} = 4\overset{^}{i} - 3\overset{^}{j} is applied at point The torque at point with respect to point and are:
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
\overset{\to}{F} = 4\overset{^}{i} - 3\overset{^}{j}
\overset{\to}{r}1 = 5\overset{^}{i} + 5\sqrt{3}\overset{^}{j} and \overset{\to}{r}2 = - 5\overset{^}{i} + 5\sqrt{3}\overset{^}{j}
Torque about
\overset{\to}{τ}O = \overset{\to}{r}1 \times \overset{\to}{F} = \left(- 15 - 20\sqrt{3}\right)\overset{^}{k}
Torque about
\overset{\to}{τ}Q = \overset{\to}{r}2 \times \overset{\to}{F} = \left(15 - 20\sqrt{3}\right)\overset{^}{k}