IMAT Harmonic motion questions

Sample questions

1. 1IMAT 2024 Q59

   A point particle moves along a given x-axis with the law of motion x(t) = 4 cos(ωt) where x is in metres, t in seconds and ω = 2π rad/s. The velocity of the point particle at the instant t* = 1/2 s equals:
   1. Aapproximately −4 m/s
   2. Bapproximately 4,2 m/s
   3. Capproximately 25,1 m/s
   4. Dapproximately 8,5 m/s
   5. E0 m/s
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2. 2IMAT 2024 Q60

   A pendulum rod moves from the vertical position. Which of the following statements is false?
   1. AThe pendulum stops after reaching a certain height and then swings back.
   2. BThe pendulum describes a circular arc during its motion.
   3. CIn the absence of friction, the pendulum tends to come to a stop after a certain time
   4. DIn the absence of friction, the motion is simple harmonic oscillation.
   5. EIn the presence of friction oscillatory motion is damped.
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