Two people exert the forces shown on the potted shrub. Determine the vector expression for the resultant R of the forces and determine the angle which the resultant makes with the positive y-axis

Apply a cusum control chart to the data in earlier exercise.

A 32-lb pull T is applied to a cord, which is wound securely around the inner hub of the drum. Determine the moment of T about the drum center C. At what angle $\theta$ should T be applied so that the moment about the contact point P is zero?

A compressive force F is transmitted via the coupler arm AB to disk OA. Develop the general expression for the n- and t-components of F as they act on the disk . Evaluate your expressions for (a) F = 500 N, $\theta=60\text{\textdegree},\phi = 20\text{\textdegree}$ and (b) F = 800 N, $\theta = 45\text{\textdegree}$, $\phi = 150\text{\textdegree}$.

The two forces shown act in the x -y plane of the T-beam cross section. If it is known that the resultant R of the two forces has a magnitude of 3.5 kN and a line of action that lies $15^{\circ}$ above the negative x-axis, determine the magnitude of ${F}_{1}$ and the inclination $\theta$ of ${F}_{2}$.

The guy cables AB and AC are attached to the top of the transmission tower. The tension in cable AB is 8 kN. Determine the required tension T in cable AC such that the net effect of the two cable tensions is a downward force at point A Determine the magnitude R of this downward force.

Two forces are applied to the construction bracket as shown. Determine the angle $\theta$ which makes the resultant of the two forces vertical. Determine the magnitude R of the resultant .

Again using Appendix F, which planet(s) might you expect not to have significant seasonal activity? Why?

Both situations have the same expected value. Find the missing information. Situation 1: Paul hits a dart target worth 15 points 45% of the time. Situation 2: He hits a dart target worth 10 points x% of the time.

Graph each function. y=|3 x|

(a) How is Bottom transformed? (b) Is Bottom aware of his transformation? Explain. (c) Does the transformation alter Bottom's personality as well as his appearance? Why or why not?

A quadratic relation has roots 0 and -6 and a maximum at (-3, 4). Determine the equation of the relation.

An experimental device imparts a force of magnitude F = 47 lb to the front edge of the rim at A to simulate the effect of a slam dunk. Determine the moments of the force F about point O and about point B. Finally, locate, from the base at O, a point C on the ground where the force imparts zero moment.

Either evaluate the given improper integral or show that it diverges. $\int_{0}^{+\infty} x^{2} e^{-x} d x$