WorksheetsDynamics of a system of particles
Total questions: 10
Worksheet time: 5mins
Which one is correct about the first moment of mass w.r.t. center of mass c.?
Σr̰i × mi = 0
Σr̰i × mi ≠ 0
Σρi × mi = 0
Σρi × mi ≠ 0
The center of mass r̰c is
∑(r̰i × mi)/m
(∑r̰i × m)/∑mi
∑(r̰i² × mi)/m
∑(r̰i² × mi)/∑mi
Linear momentum P̰ of the system is
P̰ = Σ(mi × v̰i)
P̰ = m × v̰c
P̰ = m × d(v̰c)/dt
P̰ = Σ(mi × d(v̰i)/dt)
An angular momentum H̰o of the system about O is defined as
Σ(r̰i ×miv̰i)
Σ(ρi ×mi d(ρi)/dt)
Σ(r̰i ×mi d(ρi)/dt)
Σ(ρi ×mi v̰i)
An angular momentum H̰c of the system about the center of mass c is defined as
Σ(r̰i ×mi v̰i)
Σ(ρi ×mi d(ρi)/dt)
Σ(r̰i ×mi d(ρi)/dt)
Σ(ρi ×mi∙v̰i)
What is the relation of the angular momentums of the system about O and c (H̰o and H̰c)?
H̰c = H̰o+(r̰c × mv̰c)
H̰o = H̰c+(r̰c × mv̰c)
H̰c = H̰o+(dr̰c/dt × mv̰c)
H̰o = H̰c+(dr̰c/dt × mv̰c)
The Law of linear momentum states that
Rate of change of the linear momentum of the system is equal to the force sum applied to all particles.
Rate of change of linear momentum of the system is proportional to the equivalent acceleration at c.
Sum of all internal forces in the system is zero.
Sum of the applied forces to all particles is proportional to the linear momentum of the system.
The Law of angular momentum states that
Rate of change of the angular momentum of the system about O is equal to the moment sum about O of all applied forces to the particles.
Rate of change of the angular momentum of the system about c is equal to the moment sum about c of all applied forces to the particles.
Both statements are correct.
Both statements are incorrect.
Which one is the expression of the law of linear momentum?
P̰ = mv̰c
dP̰/dt = ΣF̰a
ΣF̰a = m dv̰c /dt
No correct answers
Which formula is correct:
M̰o = d(H̰o)/dt
M̰c = d(H̰c)/dt
H̰c = Σ(ρi×mi dρi/dt)
All are correct.
