Let the point where the axis passes through the plate be O.
OA =sqrt (L1²+L2²),
OB = L1
a(centripetal) = ω²•R,
a(A) =ω²•OA= ω²•sqrt (L1²+L2²),
a(B) = ω²•OB = ω²•L1.
a(A)/a(B) = ω²•sqrt(L1²+L2²)/ω²•L1 = n,
n= sqrt (L1²+L2²)/ L1,
(L2/L1)² = n²-1,
L2/L1 = sqrt(n²-1),
L1/L2=1/ sqrt(n²-1) = =1/sqrt(2.8²-1)=3.8.
This is how the solution is reached:
Centripital acceleration = radius x (angular speed)^2
The acceleration of A = 2.8 (the acceleration of B)
So to set it up we get:
Sqrt(L2^2+L1^2) w^2 = 2.8 (L1) w^2
The angular velocities cancel because they are equal.
Now square both sides to get:
(L2^2+L1^2) = 7.84 (L1)^2
Move the L1 over:
The fraction can be written:
L2^2/L1^2 + L1^2/L1^2 = 7.8
L2^2/L1^2 + 1= 7.84
Take the sqrt of that:
The reciprocal of that is 1/2.615
Answer this Question
Physics - A rectangularplate is rotating with a constant angular speed about an ...
Physics 203 ( College) - A disk of radius 12 cm, initially at rest, begins ...
HS physics - A drawing shows a device that can be used to measure the speed of a...
Physics - A carousel at a carnival has a diameter of 6.0 m. The ride starts from...
Physics - A 0.125 kg meter stick is rotating (as shown to the right) in a ...
Physics - A spinning disk of mass 5.0 kg and radius 0.25m is rotating about an ...
physics - A spinning disk of mass 5.0 kg and radius 0.25m is rotating about an ...
physics - A rotating door is made from four rectangular glass panes, as shown in...
physics - The drawing shows a top view of a square box lying on a frictionless ...
science- physics - A rotating wheel requires 4.17 s to rotate through 37 rev. ...