Problem 7.5 Consider the car shown in Fig. 7.29. At position 0, the car is stationary on a hill that makes an angle 0 with the horizontal. Assume that the gear of the car is at "neutral" and that at time to = 0 the brakes of the car are released. Under the effect of the gravitational acceleration g, the car will start moving down the hill. After some time, the car will be at position 1, which is at a distance d from position 0 measured parallel to the hill. Fig. 7.29 Problems 7.5 and 7.6 Show that time t to cover the distance between positions 0 and 1, and speed v1 of the car at position 1 can be expressed as: 2d 8 sin 0 Vi = /2 gd sin0
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).
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