A particle moves in a circular path with decreasing speed. Choose the correct statement.

  • [IIT 2005]
  • A

    Angular momentum remains constant

  • B

    Acceleration ($\vec a$) is towards the center

  • C

    Particle moves in a spiral path with decreasing radius

  • D

    The direction of angular momentum remains constant

Similar Questions

$Assertion$ : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes.

$Reason$ : The centripetal acceleration in circular motion is dependent on angular velocity of the body.

  • [AIIMS 2010]

For circular motion, if ${\vec a_t},\,{\vec a_c},\,\vec r$ and $\vec v$ are tangential acceleration, centripetal acceleration, radius vector and velocitym respectively, then find the wrong relation

A stone ties to the end of a string $1\,m$ long is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolution in $44$ seconds, what is the magnitude and direction of acceleration of the stone

  • [AIPMT 2005]

A simple pendulum consisting of a mass $M$ attached to a string of length $L$ is released from rest at an angle $\alpha$. $A$ pin is located at a distance $l$ below the pivot point. When the pendulum swings down, the string hits the pin as shown in the figure. The maximum angle $\theta$ which string makes with the vertical after hitting the pin is :-

A missile is fired for maximum range at your town from a place $100\, km$ away from you. If the missile is first detected at its half way point, how much warning time will you have ? (Take $g = 10\, m/s^2$) what was the speed of missile when it was detected ?