a) acceleration = - g sinθ / ( 1 +Icom/MR2 )
for uniform cylinder Icom =0.5MR2
∴ acceleration = - 9.8*sin48 / ( 1 + 0.5) = - 4.855 m/s2 ( in
the negativedirection of the x - axis )
b) frictional froce is static.
∴ fs = - Icom a/ R2
=- 0.5Ma
= 1395N
Given that,
Angle between the horizontal and road θ=
Mass of the cylinder M=575 kg
Diameter of the cylinder d =1.20 m
then radius of cylinder
a) Using parallel axis theorem,
the moment of inertia about the point of contact of the log with
slope is
the torque about the point of contact is τ=MgR sinθ
But we know that torque is τ=Iα
∴Iα=MgR sinθ
Angular acceleration α=
therefore acceleration a=αR
a= (2gsin θ)/3
=(2*9.8*sin 48)/3
=4.8552
b) Since friction force provides the torque to produce the angular acceleration about the center of the mass
here f= frictional force
Moment of inertia about the center of the mass
f=[( 575)*(9.8)*sin 48]/3=1395.8 N
c) it is a static friction
As a logging truck rounds a bend in the road, some logs come loose and begin to roll without slipping down the mountain...
As a logging truck rounds a bend in the road, some logs come
loose and begin to roll without slipping down the mountainside. The
mountain slopes upward at 48.0? above the horizontal, and we can
model the logs as solid uniform cylinders of mass 575kg and
diameter 1.20m .
A) Find the acceleration of the logs as they roll down the
mountain.
B) What is the friction force on the rolling logs? Is it kinetic or
static?
Please show step-by-step...
As a logging truck rounds a bend in the road, some logs come loose and begin to roll without slipping down the mountainside. The mountain slopes upward at 48.0 degrees above the horizontal, and we can model the logs as solid uniform cylinders of mass 575 kg and diameter 1.20m Find the acceleration of the logs as they roll down the mountain. What is the friction force on the rolling logs? Is it kinetic or static?
As a logging truck rounds a bend in the road, some logs come loose and begin to roll without slipping down the mountainside. The mountain slopes upward at 48.0 degrees above the horizontal, and we can model the logs as solid uniform cylinders of mass 575 kg and diameter 1.20 m. Find the acceleration of the logs as they roll down the mountain.
As a logging truck rounds a bend in the road, some logs come loose and begin to roll without slipping down the mountainside. The mountain slopes upward at 24.0 above the horizontal, and we can model the logs as solid uniform cylinders of mass 575 kg and diameter 1.20 m.