MCQ
A particle is in linear simple harmonic motion between two points A and B, 10cm apart Take the direction from A to B as the + ve direction and choose the correct statements:

  • A
    The sign of velocity, acceleration and force on the particle when it is 3cm away from A going towards B are positive.
  • B
    The sign of velocity of the particle at C going towards O is negative.
  • C
    The sign of velocity, acceleration and force on the particle when it is 4cm away from B going towards A are negative.
  • D
    The sign of acceleration and force on the particle when it is at point B is negative.

Answer

  1. The sign of velocity, acceleration and force on the particle when it is 3cm away from A going towards B are positive.
  1. The sign of velocity, acceleration and force on the particle when it is 4cm away from B going towards A are negative.
  1. The sign of acceleration and force on the particle when it is at point B is negative.

Explanation:

  1. when the particle is going from A to B (+ve direction) and it is 3 cm from A velocity increases up to O so velocity is positive. Acceleration in SHM is towards +ve. So both v and a are +ve.
  2. As the particle is going towards B so velocity is Positive not negative.
  3. As the particle is at 4cm from B and B and going towards A i.e. (-)ve side, so velocity and acceleration towards mean position at O. So both are negative.
  4. When particle is at B force and acceleration both are towards ‘O’, so both are negative.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

$A$ ball of mass $m$ moving with velocity $v$, collide with the wall elastically as shown in the figure.After impact the change in angular momentum about $P$ is:
Three blocks are placed as shown in figure. Mass of $A, B$ and $C$ are $m_1, m_2$ and $m_3$ respectively. The force exerted by block ' $C$ ' on ' $B$ ' is .........
An engine giving whistle is moving towards a stationary observer with $110\, m/s$ speed. What will be the ratio of the frequency of the whistle heard when the engine is approaching and receding from the observer ? (Speed of sound $= 330\, m/s$)
Consider two identical springs each of spring constant $k$ and negligible mass compared to the mass $M$ as shown. Fig. $1$ shows one of them and Fig. $2$ shows their series combination. The ratios of time period of oscillation of the two $SHM$ is $\frac{ T _{ b }}{ T _{ a }}=\sqrt{ x },$ where value of $x$ is

(Round off to the Nearest Integer)

If there is an error of $1\%$ in calculation of mass of disc and $1.5\%$ error in radius, then $\%$ error in moment of inertia about an axis tangent to disc is  .......... $\%$
KE acquired by a mass $m$ in travelling a certain distance $d$, starting from rest, under the action of a constant force $F$ is ..........
A particle falls from a height $h $ upon a fixed horizontal plane and rebounds. If $e$ is the coefficient of restitution, the total distance travelled before rebounding has stopped is
As shown in figure, two blocks are connected with a light spring. When spring was at its natural length, velocities are given to them as shown in figure. Choose the wrong alternative.
Two stones are thrown up vertically and simultaneously but with different speeds. Which graph correctly represents the time variation of their relative positions $\Delta x$.Assume that stones do not bounce after hitting ground.
Pressure is a scalar quantity because: