Assume you get a summer job as a crane operator. on the first day you are lifting a heavy piece of machinery. even though you have the arm at 70∘ above the horizontal, the crane begins to tip slowly forward. consider the following possible actions:

1. release the brake on the lifting cable so that the load accelerates downward.
2. release the lifting arm so that θ decreases rapidly and the load accelerates downward.
3. increase θ while simultaneously letting out the lifting cable so that the load accelerates downward.
4. put the crane wheels in gear and accelerate the crane forward.

none of these solutions is ideal, but which will have the short-term effect of restoring contact of the crane's rear wheels with the ground?

An ideal otto cycle has a compression ratio of 10.5, takes in air at 90 kpa and 40°c, and is repeated 2500 times per minute. using constant specific heats at room temperature, determine the thermal efficiency of this cycle and the rate of heat input if the cycle is to produce 90 kw of power.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

What quantity do units represent in value