Exercise 1.2: Open the Lab 1 Digital Map: and answer the following questions. You may also access this map from Canvas. Go to the Fullerton College Bookmark. Using the Measure Distance Tool, answer these questions: 1. The Red Pushpin is the location of the library. Imagine that you were to exit the building (blue pushpin) and walk to your car (green pushpin). You can only walk along the sidewalk until you get to the parking lot. How far is it in feet from the building's exit to your car?______ 2. You need to drive from the blue star to the orange star. What is the difference in miles if you take N. Berkley Ave versus N. Lemon St. and Nutwood Pl? How accurate are your measurements? Let's find out. Change the Basemap to Imagery and go to the Valencia High School Bookmark to measure the length of the football field. Note: Football fields are 100 yards between the goal lines. I marked the goal lines in yellow on this image: 3. How close were you to the actual length? Return to the Fullerton College Bookmark (with Basemap as Imagery). 4. Using the measure area tool, measure the area of the field I labeled. How many sq. feet is it?

The four masses shown in are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.

A high-speed drill reaches 2000 rpm in 0.50 s. What is the drill's angular acceleration? Through how many revolutions does it turn during this first0.50 s?

12-95. The basketball passed through the hoop even though it barely cleared the hands of the player B who attempted to block it. Neglecting the size of the ball,determine the magnitude va of its initial velocity and the height h of the ball when it passes over player B.

Suppose we have a mechanical system with the following model: \bar{v}+6 \dot{v}+13 v=13 n where y is the output of the system and u is the input of the system. Initial conditions are y(0)and y(0). ) Based on the given model, generate the transfer function Y(s)/U(s). (b) What are the poles and zeros of the transfer function? (c) If the input u(t) is a unit step, find the output y(t) when y(0) = 0 and ý(0) = 0. (d) Write down an expression for the free response with initial conditions y(0) =1 and ÿ(0)=0 (e) Is this system stable? Please explain.

*12-108. The baseball player A hits the baseball a A = 40 ft/s and 0 = 60° from the horizontal. When the ball is directly overhead of player B he begins to run under it. Determine the constant speed at which B must run and the distance d in order to make the catch at the same elevation at which the ball was hit.

12-94. A golf ball is struck with a velocity of 80 ft/s as shown. Determine the speed at which it strikes the ground at B and the time of flight from A to B.

6. Are there any Datum Feature Targets on this drawing (Yes or No)? If yes, describe where

For each of the systems below, determine the steady-state response using the Final Value Theorem.Before applying the theorem, check for the stability conditions. Before applying the FVT, remember to check that all the poles of the Transfer Function are in the Left Hand Plane (LHP). \text { a) For the system: } \frac{Y(s)}{U(s)}=\frac{2}{s+3}, \text { what is the steady-state response to a step input? } b) For the same system, what is the steady-state response to a ramp input? \text { c) For the system: } \frac{Y(s)}{U(s)}=\frac{9}{s^{2}+2 s+3}, \text { what is the steady-state response to a step input? } \text { d) For the system: } \frac{Y(s)}{U(s)}=\frac{9}{s-3}, \text { what is the steady-state response to a step input? }

7. Referring to the conventional tolerances on the drawing, what method of tolerancing is shown?