Chapter 11.1, Problem 76E

Numerical and Graphical Analysis Forces with magnitudes of 180 new tons and 275 new tons act on a hook (see Figure). The angle between the two forces is $\theta$ degrees.

(a) When d $\theta ={30}^{\circ }$ find the direction and magnitude of the resultant force.

(b) Write the magnitude M and direction a of the resultant force as functions of $\theta$, where If $0^{\circ }\le \theta \le {180}^{\circ }$

(c) Use a graphing utility to complete the table.

$\theta$	$0^{\circ }$	${30}^{\circ }$	${60}^{\circ }$	${90}^{\circ }$	${120}^{\circ }$	${150}^{\circ }$	${180}^{\circ }$
M
$\alpha$

(d) Use a graphing utility to graph the two functions M and $\alpha$

(e) Explain why one of the functions decreases for increasing values of $\theta$. whereas the other does not.

y not be coped. Manned, or duplicated. In whole or In part WCN 02-200-202