A heavy particle of mass m falls freely near the earth's surface. What is the torque acting on this particle about a point 50 cm east to the line of motion? Does this torque produce any angular acceleration in the particle?
Answers
Answer ⇒ The Torque acing on the Particles about the point 50 cm east to the line of the motion is 4.9m N-meter.
where m -s the mass of the Particle.
This Torque cannot produce any angular acceleration in the Particles.
Explanation ⇒
For First Answer,
Distance of the line of the motion (r) = 50 cm = 0.5 m.
Let the mass of the Particle be m.
Acceleration due to gravity(g) = 9.8 m/s²
∴ Force acting on the body = m × g
= 9.8m N
Now, Using the Formula,
Torque = Force × Distance of the line of the motion.
= 9.8 m × 0.5
= 4.9m N-m.
Hence, the torque is 4.9m N-m.
Second answer,
This torque cannot produce any angular acceleration in the particle because there is no force in the opposite direction of the weight at 50 cm east of the line of motion.
For a torque to be effective through a force, there must be equal and opposite non-linear force acting on the particle.
Hope it helps.