Download presentation

Presentation is loading. Please wait.

Published byImani Paley Modified over 2 years ago

1
Monday October 20

2
Motion of a rigid body Body can translate only. In this case we can replace the body by a point located at the center of mass. Body can rotate about a fixed point. Can no longer represent body by just a point. Body can translate and rotate. Rigid body means all points have the same angular velocity, ω, about the axis of rotation.

3
Uniform Rotation ω = constant

4
Rotation with angular acceleration Non-uniform angular motion

5
Linear vs. Rotational Motion Linear variable Position x(t) Velocity Acceleration Circular variable Position θ(t) Velocity Acceleration

6
Linear vs. Rotation Linear v constant a constant Rotation ω constant α constant

7
Acceleration Two components: Centripetal, radially inward Tangential (rate at which particle’s velocity increases along the circular path)

8
What corresponds to Force for rotational motion? Torque—twisting Which forces provides greater turning effectiveness to the bolt head? φ A B C

9
Schematically Component of force perpendicular to lever arm (wrench handle) produces twist Longer wrench handle produces larger twist. φ r

10
Torque, τ Torque, the measure of twist, is proportional to the length of the wrench handle, r, to the component of the applied force F perpendicular to the handle or lever arm.

11
Net Torque If all forces are in the same plane

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google