Answer
(a) $\tau = 40.0~N~m$
(b) $\tau = 34.6~N~m$
(c) $\tau = 20.0~N~m$
(d) $\tau = -17.3~N~m$
(e) $\tau = 0$
(f) $\tau = 0$
Work Step by Step
(a) $\tau = F~r~sin(\theta)$
$\tau = (10.0~N)(4.00~m)~sin(90.0^{\circ})$
$\tau = 40.0~N~m$
(b) $\tau = F~r~sin(\theta)$
$\tau = (10.0~N)(4.00~m)~sin(120.0^{\circ})$
$\tau = 34.6~N~m$
(c) $\tau = F~r~sin(\theta)$
$\tau = (10.0~N)(4.00~m)~sin(30.0^{\circ})$
$\tau = 20.0~N~m$
(d) $\tau = F~r~sin(\theta)$
$\tau = -(10.0~N)(2.00~m)~sin(60.0^{\circ})$
$\tau = -17.3~N~m$
(e) $\tau = F~r~sin(\theta)$
$\tau = (10.0~N)(0)~sin(60.0^{\circ})$
$\tau = 0$
(f) $\tau = F~r~sin(\theta)$
$\tau = (10.0~N)(4.00~m)~sin(0^{\circ})$
$\tau = 0$
