Answer:
hello your question is incomplete attached below is the complete question
and solution to the question
Explanation:
To write The equation of the motion in Matrix form
i)First we write the net torque equation for left mass
ii)Next we write the net torque equation for right mass
iii) represent the equation of motion in Matrix form
Answer:
0.06 Nm
Explanation:
mass of object, m = 3 kg
radius of gyration, k = 0.2 m
angular acceleration, α = 0.5 rad/s^2
Moment of inertia of the object
I = 3 x 0.2 x 0.2 = 0.12 kg m^2
The relaton between the torque and teh moment off inertia is
τ = I α
Wheree, τ is torque and α be the angular acceleration and I be the moemnt of inertia
τ = 0.12 x 0.5 = 0.06 Nm
Answer:
The rate at which the automobile is moving away from the farmhouse is 27.29 m/h.
Explanation:
As shown in the figure, A denotes the position of farmhouse, B be the location of highway intersection and C be the direction along which automobile is moving.
Consider s be the distance between farmhouse and automobile which is represent by AC, x is the distance between intersection and automobile which is represent by BC and the distance between intersection of highway and automobile is represent by AB.
Applying Pythagoras Theorem to the figure,
(AB)² + (BC)² = (AC)²
Since, AB = 7 miles, BC = x and AC = s.
7² + x² = s²
Differentiating both sides of the above equation with respect to time :
When the automobile is 4 miles past the intersection, i.e.
x = 4 miles and = 55 m/h, then
m/h
