I try to begin the question with place origin of coordinates at the centre of the disk (x,y)
With the parameters of figures given,
for x, because ξsinθ ( the height of triangle formed by bob ) is longer than that of radius,
x = ξsinθ - a cos ωt
similarly, y = ξcosθ - a sin ωt
However, the...
Homework Statement
A simple pendulum of length ξ and mass m is suspended from a point on the circumference of a thin massless disc of radius α that rotates with a constant angular velocity ω about its central axis as shown in Figure. Find the equation of motion of the mass m.
Homework...
Homework Statement
Find the differential equations of motion of a projectile in a uniform gravitational field without
air resistance.
Homework Equations
For the motion of a projectile,
in horizontal, sx = ux t
in vertical, sy = uy t + 1/2 gt2
KE = 1/2 mv2
PE = mgh
The Attempt at a Solution
L...
Anyway thanks. I got the idea finally.
In the beginning, I misunderstand where the particle goes ( in case, now I know it is just assumed by me )
Then I realize how the coordinate comes.
Homework Statement
Particles of mud are thrown from the rim of a rolling wheel. If the forward speed of the
wheel is v0, and the radius of the wheel is b, show that the greatest height above the ground that the mud can go is
b + v02 / 2g + gb2/ 2v02
At what point on the rolling wheel does this...