In a ballistic pendulum an object of mass m is fired with an initial speed vo at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement 0 as shown (Figure 1). Part B An experiment is done to compare the initial speed of projectiles fired from high-performance catapults. The catapults are placed very close to a pendulum bob of mass 10.0 kg attached to a massless rod of length L. Assume that catapult 1 fires a projectile of mass 7.00 g at speed v1 and catapult 2 fires a projectile of mass 8.50 g at speed v2. If the projectile from catapult 1 causes the pendulum to swing to a maximum angular displacement of Figure 7.20 ° and the projectile from catapult 2 causes a displacement of 10.6 °, find the ratio of the initial speeds, 1 of 1 Express your answer numerically. • View Available Hint(s) V AZO ? v = 0 v2 M -M+m-
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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