(a) As x increases k increases.
Explanation:
Since the motion is simple harmonic, the force F=-⍵²x where ⍵² is a constant. Equating the force applied by the student we get, -k/x=-⍵²x
→k=⍵²x²
It is...
(b) an extreme position
EXPLANATION:
At the extreme position the particle is in the same phase at consecutive appearance, hence (b) is true. In all other options, the consecutive appearance of the...
The correct answer is
(d) zero.
EXPLANATION:
The displacement is a vector and its magnitude is given by the line joining the initial position to the final position. Since after one time period...
The correct answer is
(c) 2 v
EXPLANATION:
Between one extreme position to another i.e. in half the time period the K.E. increases from zero to maximum (at the mean position) and again...
(d) become T/√2.
EXPLANATION:
The time period of a spring-mass system is given as T = 2π√(m/k).
When the spring is divided in two equal halves the spring constant of each half doubles,...
(d) with time period π/ω.
EXPLANATION:
x = x₀sin²⍵t =x₀(1-cos2⍵t)/2 →x = x₀/2 - ½x₀.cos2⍵t.
It gives the amplitude as x₀/2, hence (a) and (b) are not true. The time period is given...
