A catapult can be modeled as a stiff rod of length 1 and negligible mass, joining two particles as shown in Figure (a) below where m₂ > m₁. Suppose that the catapult can turn on a frictionless horizontal axle perpendicular to the rod. The operator releases the catapult from rest in a horizontal orientation as shown in Figure (b). re (a) @ FF2 1 0 pivot. M2 /822/ Figure (b) my -3.00 m m2

A catapult can be modeled as a stiff rod of length 1 and negligible mass, joining two particles as shown in Figure (a) below where m₂ > m₁. Suppose that the catapult can turn on a frictionless horizontal axle perpendicular to the rod. The operator releases the catapult from rest in a horizontal orientation as shown in Figure (b). re (a) @ FF2 1 0 pivot. M2 /822/ Figure (b) my -3.00 m m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

A catapult can be modeled as a stiff rod of length 1 and negligible mass, joining two particles as
shown in Figure (a) below where m₂ > m₁. Suppose that the catapult can turn on a frictionless
horizontal axle perpendicular to the rod. The operator releases the catapult from rest in a horizontal
orientation as shown in Figure (b).
ure (a)
FFI 1
pivot.
M2
Figure (b)
m1
-3.00 m.
mq
I

| Show that the speed of the small mass can be written as
—2(m₁r₁ — m₂r₂) g sin 0
2
m₁ r₁² + m₂r₂²
2
V₁ = 1₁
]If m₁
0.150 kg, m₂ = 75.0 kg, and l = 3.00 m, determine the angle at
e object m₁ attains half its maximum speed.
=

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