Problem 7: The puck in the figure above on the left has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 0.4 m, and the puck is sliding with a speed of v, = 0.8 m/sec. The string is pulled downward through the hole in the frictionless table and the new distance of the puck from the center of rotation is 0.25 m. What is the new speed of the puck? Answer: v = 1.28 m/sec
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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Rod
Block
Bullet
Problem 7: The puck in the figure above on the left has a mass of 0.120 kg. The distance of the puck
from the center of rotation is originally 0.4 m, and the puck is sliding with a speed of v; = 0.8 m/sec. The
string is pulled downward through the hole in the frictionless table and the new distance of the puck from
the center of rotation is 0.25 m. What is the new speed of the puck? Answer: vf = 1.28 m/sec
Problem 8: In the figure above on the right a 0.001 kg bullet with initial speed vi = 1800 m/sec is fired
into a 0.5 kg block attached to the end of a 0.60 m rod of mass 0.50 kg. Point A is the pivot point for the
rod and the bullet stays inside the block after the collision. What is the angular speed w of the system after
the collision? The moment of inertia of the rod about point A is I = Me and the moment of a particle
is I = mr?. Treat the block as a particle and also treat the bullet as a particle. Answer: w = 4.5 rad/sec"
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