Kinetics – Constrained Motion of a Particle in a Plane (continued)
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Step 5A: Calculation
of the accelerations Use (6) d2x/dt2 = [
v dv/dt ˗ (dy/dt)(d2y/dt2) ] / (dx/dt) to find the x ˗ component of
acceleration.
with
given data: y(x), v(t),
and dv(t)/dt |
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Use (2)
d2y/dt2 =
˗ Ab2 sin bx) (dx/dt)2 + Abcos bx (d2x/dt2) along with (6) d2x/dt2 = [
v dv/dt ˗ (dy/dt)(d2y/dt2) ] / (dx/dt to find the y-component of acceleration. with
given data: y(x), v(t),
and dv(t)/dt |
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Step 5B: Calculation
of the forces acting on the particle Apply Fx =
m(d2x/dt2)
and Fy ˗
mg = m(d2y/dt2) to
find the components of force on the particle after first finding the
components of acceleration from
Step 5A d2x/dt2 and
d2y/dt2 The
given data is as follows: y(x),
v(t), dv/dt , m, and
g |
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