IIT JEE , AIEEE Forum - Physics , Mechanics

deep01

Q1. WHICH OF THE FOLLOWING FUNCTIONS OF TIME REPRESENT

a)SIMPLE HARMONIC b)PERIODIC BUT NOT SIMPLE HARMONIC

c)NON PERIODIC MOTION(W IS ANY POSITIVE CONSTANT)

1.sin WT-cos WT

2.sin3 WT

3.3cos(PIE/4-2 WT)

4.cos WT+cos3 WT+ cos5 WT

5.e-w2t2

6.1+WT+w2t2

7.sin PIET+2cosPIET+3sinPIET

8.cos WT+ 2sin2WT

PLS EXPLAIN THE ANSWER??WHY

anuragasp

1.sinwT-coswT.........................1.

a shm equation can be generally represented as

Asin(wt+

) [either with cos or sine , either with + or - ]

so, the given can be written as

^1/2_{^{2 sin(wt-/4) .................................................... MULTIPLY AND DIVIDE 1. WITH}2^1/2}

so it represents an shm.

smilarly you can get the other equations.