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).
When solving for the normal force at C, why is there no tangential acceleration?
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Conservation of total energy
1. The spring of constant k is unstretched when the slider of
mass m passes position B. If the slider is released from rest
in position A, determine its speed as it passes point B and
C. What is the normal force exerted by the guide on the
slider at position C? Neglect friction between the mass and
the circular guide, which lies in a vertical plane.
(Meriam 3/148)
|A
k
В
R
Solution:
C
The system is a conservative system, for position A, B and C
we have
E1 = E2= E3
T1 + Vị = T2 + V2 = T3 + V3
HA
R
T1 + Vị = 0 + mgR +
k
1
T2 + V2
mv, + 0
2
R
1
mv} – mgR
T3 + V3
-R
3
C
kR?
(ans)
→ v2 = 2gR + 0.1716-
т
N
kR?
|4gR+0.1716-
m
(ans)
→ Vz =
m
mg
At C: N- mg
= m
R
→ N= 5mg + 0.1716kR (ans)"
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