TS EAMCET · Physics · Motion In Two Dimensions
Consider the motion of a particle described by \(x=a \cos t, y=a \sin t\) and \(z=t\). The trajectory traced by the particle as a function of time is
- A helix
- B circular
- C elliptical
- D straight line
Answer & Solution
Correct Answer
(A) helix
Step-by-step Solution
Detailed explanation
Given, \[ \begin{aligned} & x=\operatorname{acos} t, \\ & y=a \sin t \\ & z=t \end{aligned} \] and Path is circular in \(x y\) plane, \[ \begin{aligned} & \frac{x^2}{a^2}+\frac{y^2}{a^2}=\cos ^2 \theta+\sin ^2 \theta \\ & \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \end{aligned} \] In one…
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