Request a call back

Join NOW to get access to exclusive study material for best results

NEET Class neet Answered

establish the relation between torque and force
Asked by anshikabhardwaj272003 | 23 Jan, 2022, 16:56: PM
answered-by-expert Expert Answer
If a force acts on a single particle at a point P whose position with respect to the origin O is
given by the position vector begin mathsize 14px style r with rightwards arrow on top end style as shown in figure , then the moment of the force or Torque
acting on the particle with respect to the origin O is defined as the vector product
 
begin mathsize 14px style tau with rightwards arrow on top space equals space r with rightwards arrow on top cross times F with rightwards arrow on top end style
 
The torque is a vector quantity.  The magnitude of τ is
 
τ = rF sinθ
 
 
where r is the magnitude of the position vector r, i.e. the length OP, F is the magnitude of force
and θ is the angle between r and F as shown in figure.
 
The SI unit of moment of force is Newton-metre (Nm).
 
The magnitude of the torque is written as
 
τ = (r sinθ )F = rF

or
τ = rF sinθ = rF (7.24c)
 
where r = r sinθ is the perpendicular distance of the line of action of F form the origin and
F = F sinθ  is the component of F in the direction perpendicular to r.
 
 Torque τ = 0 if r = 0, F = 0 or θ = 0o or 180o . Thus, the torque vanishes if either the magnitude of
the force is zero, or if the line of action of the force passes through the origin.
Answered by Thiyagarajan K | 23 Jan, 2022, 17:36: PM
NEET neet - Physics
Asked by sajnadevirrc | 06 Aug, 2024, 11:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by juleerajput036 | 30 Jul, 2024, 19:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by 69sayyappan | 29 Mar, 2024, 10:44: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by snowgaming267 | 21 Mar, 2024, 13:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by vikrantdhurdev2020 | 15 Mar, 2024, 16:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by shanthaswamy.07 | 07 Mar, 2024, 22:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by vijayyadav08735 | 20 Feb, 2024, 15:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
phy
question image
Asked by likhithias3 | 08 Feb, 2024, 07:12: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
NEET neet - Physics
Asked by safuuu78666 | 06 Feb, 2024, 18:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT