ABSTRACT

Plot the two voltages on the same axes to scales of 1 cm=50 volts and 1 cm= π

6 rad. Obtain a sinu-

soidal expression for the resultant υ1 +υ2 in the form R sin(ωt +α): (a) by adding ordinates at intervals and (b) by calculation (13)

10. If velocity v1 = 26 m/s at 52◦ and v2 = 17 m/s at −28◦ calculate the magnitude and direction of v1 + v2, correct to 2 decimal places, using complex numbers (10)

11. Given a = −3i + 3j + 5k, b = 2i − 5j + 7k and c = 3i + 6j − 4k, determine the following:

(i) −4b (ii) a + b − c

(iii) 5b − 3c (8)

For lecturers/instructors/teachers, fully worked solutions to each of the problems in Revision Test 9, together with a full marking scheme, are available at the website:

www.routledge.com/cw/bird