Tag: rigid body dynamics

Quizzes (4) Questions (18)

Questions Related to rigid body dynamics

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

When a spinning top slows down, it begins to wobble. This phenomenon can be explained by

  1. gyroscopic precession

  2. inertia of motion

  3. force of gravity

  4. more complicated types of motion are coming into play
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When the top slows down, air bouancy, gravitational force, inertial movement and other complicated motion concepts act on it resulting into wobbling of the top.

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

Find the new coordinates of the point (3, 4), if the origin is shifted to the point (1, 3).

  1. (2, 1)

  2. (1, 2)

  3. (1, -2)

  4. (2, -1)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initially the origin was (0,0) and the point was (3,4). If the origin is now shifted to a new point (1,3), then the coordinates of the new point will be (X,Y)  with respect to the new origin(h=1, k=3).  Thus, (3,4) = (X+1, Y+3). Solving, we get, X=2 and Y=1

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

Which of the following statements can be suitable?

  1. Rotational motion is a type of circular motion.

  2. Circular motion is similar to rotational motion.

  3. Rotational and circular motion are fundamentally unrelated.

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In circular motion, the body revolves around a certain axis. So that body posses a certain angular velocity, angular acceleration and frequency of rotation where these terms are used in rotational motion. Thus circular motion is said to be similar to rotational motion.

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

Which of the following cannot be considered an example of precession?

  1. A spinning top

  2. A spinning wheel

  3. Rolling ball

  4. Spinning of the earth
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Spinning of top, spinning wheel and spinning of the earth are purely rotational motion whereas rolling ball exhibits both rotational motion as well as translational motion. As precession is described by rotational motion only, thus rolling of ball cannot be considered as an example of precession.

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

A man stands at the centre of a turn table it extended horizontally, with a $5 kg$ mass hand. He is set into rotation with an angular of one revolution in $2s$. His new angular is he drops his hands to his sides is (Assume moment of inertia of the man is $6 \ kgm^2$. The distance of the wavelength from the axis is $1 m$and final distance is $0.2 m$)

  1. $2.5 \ rev/s$

  2. $1.25 \ rev/s$

  3. $5 \ rev/s$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

For a particle showing motion under the force $F=-5{ \left( x-2 \right)  }^{ 2 },$ the motion is

  1. Translatory

  2. Oscillatory

  3. SHM

  4. All of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The force is F = -5(x-2)^2. For motion to be oscillatory, there must be a stable equilibrium point and a restoring force. Since the force is proportional to the square of the displacement, it is not SHM (which requires F proportional to x), but it is oscillatory as it acts to restore the particle toward the equilibrium position x=2.

Multiple choice physics rigid body dynamics motion of rigid body rigid body equilibrium of a rigid body

For a particle showing motion under the force $F=-5{ \left( x-2 \right) },$ the motion is

  1. Translatory

  2. Oscillatory

  3. SHM

  4. Both (2) & (3)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The force F = -5(x-2) is a linear restoring force of the form F = -k(x-x0). This is the definition of Simple Harmonic Motion (SHM). Since all SHM is also oscillatory, both options (2) and (3) are correct.