Home
Class 12
PHYSICS
O is the centre of an equilateral triang...

`O` is the centre of an equilateral triangle `ABC`. `F_(1), F_(2)` and `F_(3)` are the three forces acting along the sides `AB, BC` and `AC` respectively. What should be the value of `F_(3)` so that the total torque about `O` is zero?

A

`(F_(1)-F_(2))`

B

`(F_(1)+F_(2))`

C

`2(F_(1)+F_(2))`

D

`((F_(1)+F_(2)))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

Let d, d and d be the perpendicular distances of `F_(1), F_(2) and F_(3)` from the centre O of the equilaterial triangle. Torques of `F_(1) and F_(2)` about O are anticlockwise while the torque of `F_(3)` about O is clockwise. As per given condition,
`F_(1)xx d+F_(2)xx d-F_(3)xxd=0`
`therefore F_(1)+F_(2)=F_(3) or F_(3)=F_(1)+F_(2)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

  • OSCILLATIONS

    MARVEL PUBLICATION|Exercise MCQ|368 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

Similar Questions

Explore conceptually related problems

ABC is an equilateral with O as its centre vecF_(1), vecF_(2) and vecF_(3) represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of vecF_(3) is :

ABC is a triangle in which D, E and F are the mid-points of the sides AC, BC and AB respectively. What is the ratio of the area of the shaded to the unshaded region in the triangle?

If D,E,F are the mid points of the side BC,CA and AB respectively of a triangle ABC,write the value of vec AD+vec BE+vec CF