Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated in the figure. The simple harmonic motion of the $x-$ projection of the radius vector of the rotating particle $P$ is
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The displacement of a particle varies according to the relation $x = 4(cos\pi t + sin\pi t).$ The amplitude of the particle isView Solution
- 2A pendulum bob is swinging in a vertical plane such that its angular amplitude is less than $90^o$. At its highest point, the string is cut. Which trajectory is possible for the bob afterwards.View Solution
- 3A particle executes harmonic motion with an angular velocity and maximum acceleration of $3.5\, rad/sec$ and $ 7.5\, m/s^2$ respectively. The amplitude of oscillation is .... $m$View Solution
- 4A particle has simple harmonic motion. The equation of its motion is $x = 5\sin \left( {4t - \frac{\pi }{6}} \right)$, where $x$ is its displacement. If the displacement of the particle is $3$ units, then it velocity isView Solution
- 5A simple pendulum is suspended in a car. The car starts moving on a horizontal road according to equation $x\, = \,\frac{g}{2}\,\sqrt 3 {t^2}$. Find the time period of oscillation of the pendulum.View Solution
- 6A particle moving along the $X-$axis executes simple harmonic motion, then the force acting on it is given byView Solution
Where $A$ and $K$ are positive constants
- 7View SolutionA point particle of mass $0.1\, kg$ is executing $S.H.M$. of amplitude of $0.1\, m$. When the particle passes through the mean position, its kinetic energy is $8\times10^{-3}$ Joule. Obtain the equation of motion of this particle if this initial phase of oscillation is $45^o$.
- 8Due to some force $F_1$ a body oscillates with period $4/5\, sec$ and due to other force $F_2$ oscillates with period $3/5\, sec$. If both forces act simultaneously, the new period will be .... $\sec$View Solution
- 9Two particles are executing $SHM$ of the same amplitude $A$ and frequency $\omega $ along the $x-$ axis. Their mean position is separated by $X_0$ (where $X_0 > A$ ). If maximum separation between them is $X_0 + 2A$ , then the phase difference between their motion isView Solution
- 10One-forth length of a spring of force constant $K$ is cut away. The force constant of the remaining spring will beView Solution