- #1
doner
- 2
- 0
1. A solid disc of radius r, is rolling down a variable incline (a ramp). Show that the acceleration of the centre of mass, C is given by:
a=g[ sinθ – F/Ncosθ ].
I have done this as shown below.
N is the normal reaction and F is friction.
N = mgcosθ
F = µN = µmgcosθ
mgsinθ – F = ma
mgsinθ – µmgcosθ = ma
a = g[ sinθ – µcosθ ]
but µ = F/N
a=g[ sinθ – F/Ncosθ ]
2. Determine an expression for the value of F/N where the only unknowns are the angle θ, the radius r and radius of gyration k.
I have tried this question and can’t get the right answer and need some help please.
I know
T = Iα
I = mk2 also for a solid disk I = 0.5mr2
α = a/r
m=N/gcosθ
Can anyone help with this question please?
a=g[ sinθ – F/Ncosθ ].
I have done this as shown below.
N is the normal reaction and F is friction.
N = mgcosθ
F = µN = µmgcosθ
mgsinθ – F = ma
mgsinθ – µmgcosθ = ma
a = g[ sinθ – µcosθ ]
but µ = F/N
a=g[ sinθ – F/Ncosθ ]
2. Determine an expression for the value of F/N where the only unknowns are the angle θ, the radius r and radius of gyration k.
I have tried this question and can’t get the right answer and need some help please.
I know
T = Iα
I = mk2 also for a solid disk I = 0.5mr2
α = a/r
m=N/gcosθ
Can anyone help with this question please?