A car travels at speed v around a frictionless curve of radius r that is banked at an angle 0 the horizontal. Show that the proper angle of banking is given by tan(8) = (Hint, this is asier if you don't rotate the coordinate system like most other incline problems, and treat the axis as the horizontal direction, and the y-axis as the vertical direction. This is because the entripetal force is horinontal.) rg
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
![4) A car travels at speed v around a frictionless curve of radius r that is banked at an angle 0
to the horizontal. Show that the proper angle of banking is given by tan(0) = (Hint, this is
easier if you don't rotate the coordinate system like most other incline problems, and treat the
x-axis as the horizontal direction, and the y-axis as the vertical direction. This is because the
centripetal force is horinontal.)
5) A button is at the rim of a turntable of radius 15.0 cm rotating at 45.0 rpm. What is the
minimum coefficient of friction needed for it to stay on?
6) A 0315-ka narticle moves from an initial position
- 2 00 1- 1.00 i43 00 Ê m to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee22cf2f-b974-4b00-a3cf-09b388e7d65d%2Fd653993a-deea-4047-92d9-3cfdee24171d%2F6iqmu48_processed.jpeg&w=3840&q=75)
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