Dynamics L6 Worked example 2 (ENGR5004)

Dynamics L6 Worked example 2TutorialOld spec ENGR2162:28 min

ENGR216 Dynamics L6 worked example 2 (slides 15-17) official answers

A baggage truck A (360 kg) pulls cart B (220 kg) and cart C (130 kg) in a straight line on level ground. For a short time, the driving friction force developed at the wheels of truck A is $F_A = 160t$ N ( $t$ in s). Rolling resistance of the carts is negligible (treat the ground contact of B and C as smooth). The truck starts from rest.

Formulas you may need

Equation of motion for a system of particles: $\sum \mathbf F_{ext} = m_{tot}\mathbf a_G$ (internal forces cancel) (learn this)
$a = dv/dt$ , so $v = \int a\,dt$ when $a = a(t)$ (learn this)

(a)
Determine the speed of the train at $t = 2$ s.
v =m/s
(b)
What is the horizontal force in the coupling between truck A and cart B at $t = 2$ s?
T =N