For forces are acting at a point P in equilibrium as shown in the figure. The ratio of force F1 to F2 is 1 : x where x =___.
Correct Answer: 3
Solution and Explanation
θ=45°
Taking components along x & y
F1=√2−\(\frac{1}{\sqrt2}\)=\(\frac{2-1}{\sqrt2}\)=\(\frac{1}{\sqrt2}\)
F2=√2+\(\frac{1}{\sqrt2}\)=\(\frac{2+1}{\sqrt2}\)=\(\frac{3}{\sqrt 2}\)
F1: F2=1:3
⇒x=3
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Concepts Used:
Torque
Torque is a moment of force. Torque is measured as a force that causeque is also defined as the turning effect of force on the axis of rotation. Torque is chs an object to rotate about an axis and is responsible for the angular acceleration. Characterized with “T”.
How is Torque Calculated?
Torque is calculated as the magnitude of the torque vector T for a torque produced by a given force F
T = F. Sin (θ)
Where,
r - length of the moment arm,
θ - the angle between the force vector and the moment arm.
Read More: Torque
Types of Torque
Torque is of two types:
- Static torque
- Dynamic torque