Dynamics Session 1 Example 1 (ENGR5004)

Dynamics Session 1 Example 1TutorialCurrent specThird6 min

A rotating crank drives a slotted yoke so that point P on the horizontal rod moves in a straight line. Its position as a function of time is

$s = 0.4\sin(2\pi t)\ \text{m}$

with $t$ in seconds and $s$ measured to the right.

Formulas you may need

Rectilinear motion: $v = \dfrac{ds}{dt}$ , $a = \dfrac{dv}{dt} = \dfrac{d^2s}{dt^2}$ (learn this)

(a)
Find the velocity and acceleration of P at $t = 0.375$ s.
v =m/s
a =m/s^2
(b)
What is the maximum magnitude of the velocity of P?
v_max =m/s
(c)
When the magnitude of the velocity of P is a maximum, what is the acceleration of P?
a =m/s^2

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