By Joseph Albertus Culler

Initially released in 1909. This quantity from the Cornell college Library's print collections was once scanned on an APT BookScan and switched over to JPG 2000 layout through Kirtas applied sciences. All titles scanned disguise to hide and pages may perhaps contain marks notations and different marginalia found in the unique quantity.

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3. A boat is propelled directly across a stream at the rate of 12 miles per hour, while the stream runs 4 miles per hour. Use the graphical method and find the resultant velocity by measiirement. 4. Find the velocity along the V-axis when conditions are as represented in Fig. 27. 5. If two vectors whose values are 3 and 5 form an angle of 45°, what angle does the resultant make with the 5 cm. vector ? 6. Find the resultant of two velocities, one 10 ™/sec E. 10° N. and the other 20 ra/sec N. 30° W.

In any case, for a given constant force, the prod- a uniformly accelerated motion. eration may may uct of the mass and acceleration is usually expressed by is F=ma a constant quantity. This (41) By this equation it is seen that for any given mass, m, the force, F, varies directly as the acceleration, a. Therefore the acceleration which is produced may be employed as a measure of the force applied. There are two common units based on this prinThey are the dyne and the poundal. ciple. The dyne is a force which will cause a mass of one gram to have an acceleration of one centimetre per second every second.

23, where a and b are the two components whose resultant is to be found, the vector value along the X-axis is seen to be a+b cos d, and along the Y-axis Hence the square of the resultant is equal to the it is b sin 0. ^+b^+2abcosd is the expression for what may (19) is usually called the addition be subtracted by reversing the direction of one of them and then finding the resultant in the usual manner. In Fig. 24 let a and b be the two vectors which are to be subtracted. The resultant is r, a magnitude which is less in this parF"5- 24.