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Choose the correct alternatives: For a general rotational motion, angular momentum L and angular velocity ω need not be parallel.

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प्रश्न

Choose the correct alternatives:

  1. For a general rotational motion, angular momentum L and angular velocity ω need not be parallel.
  2. For a rotational motion about a fixed axis, angular momentum L and angular velocity ω are always parallel.
  3. For a general translational motion , momentum p and velocity v are always parallel.
  4. For a general translational motion, acceleration a and velocity v are always parallel.
टीपा लिहा
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उत्तर

a and c

Explanation:

  1. For a general rotational motion where the axis of rotation is not symmetric. Angular momentum Z and angular velocity 0) need not be parallel. The wobbly motion of a wheel rotating about an axis inclined at a small angle to the symmetry axis of the wheel represents a situation where angular momentum and angular velocity are not parallel.
  2. Fixed axis should pass through CM of the body, so it is not necessary for angular momentum Z and angular velocity ω are always parallel.
  3. As we know in a general translational motion linear momentum is given by, p = mv, hence, the direction of p is always along v.
  4. In projectile motion, v and a are not always parallel.
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पाठ 7: System of Particles and Rotational Motion - Exercises [पृष्ठ ५२]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 11
पाठ 7 System of Particles and Rotational Motion
Exercises | Q 7.9 | पृष्ठ ५२

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Find the components along the x, y, z axes of the angular momentum of a particle, whose position vector is with components x, y, z and momentum is with components px, py and 'p_z`. Show that if the particle moves only in the x-y plane the angular momentum has only a z-component.


The torque of the weight of any body about any vertical axis is zero. If it always correct?


The torque of a force \[\overrightarrow F \] about a point is defined as \[\overrightarrow\Gamma  =  \overrightarrow r  \times  \overrightarrow F.\] Suppose \[\overrightarrow r, \overrightarrow F\] and \[\overrightarrow \Gamma\] are all nonzero. Is \[r \times  \overrightarrow\Gamma || \overrightarrow F\] always true? Is it ever true?


A heavy particle of mass m falls freely near the earth's surface. What is the torque acting on this particle about a point 50 cm east to the line of motion? Does this torque produce any angular acceleration in the particle?


When a body is weighed on an ordinary balance we demand that the arum should be horizontal if the weights on the two pans are equal. Suppose equal weights are put on the two pans, the arm is kept at an angle with the horizontal and released. Is the torque of the two weights about the middle point (point of support) zero? Is the total torque zero? If so, why does the arm rotate and finally become horizontal?


The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis though the pivot. A horizontal force F is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted, are ________________ .


A particle of mass m is projected with a speed u at an angle θ with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point.


Calculate the total torque acting on the body shown in the following figure about the point O.


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  3. The forces may be acting parallel to the axis of rotation.
  4. The torque caused by some forces may be equal and opposite to that caused by other forces.

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Column I Column II
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