Which of the following quantities are always negative in a simple harmonic motion?
(a) $\vec{F} . \vec{a} .$

(b) $\vec{v} . \vec{r} .$

(c) $\vec{a} . \vec{r} .$

(d) $\vec{F} . \vec{r} .$

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Solution

$(c) \overset{⇀}{a} . \overset{⇀}{r} (d) \overset{⇀}{F} . \overset{⇀}{r}$

In S.H.M.,
F = -kx
Therefore, $\overset{⇀}{F .} \overset{⇀}{r}$ will always be negative. As acceleration has the same direction as the force, $\overset{⇀}{a} . \overset{⇀}{r}$ will also be negative, always.

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Similar questions

\vec{F} \times \vec{a} .

\vec{v} \times \vec{r} .

\vec{a} \times \vec{r} .

\vec{F} \times \vec{r} .

D_{f}

R_{f}

f (x) = (- 1)^{x}

f (x) = {log}_{e} (3 x^{2} - 4 x + 5)

D_{f}, R_{f}

f (x)

Conclusions:

a) F $ R

b) F % R

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