हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

The ratio of the acceleration for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is, ______

Advertisements
Advertisements

प्रश्न

The ratio of the acceleration for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is, ______

विकल्प

  • 5:7

  • 2:3

  • 2:5

  • 7:5

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

The ratio of the acceleration for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is 5:7.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Motion of System of Particles and Rigid Bodies - Evaluation [पृष्ठ २६१]

APPEARS IN

सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 5 Motion of System of Particles and Rigid Bodies
Evaluation | Q I. 11. | पृष्ठ २६१

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.


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?


Equal torques act on the disc A and B of the previous problem, initially both being at rest. At a later instant, the linear speeds of a point on the rim of A and another point on the rim of B are \[\nu_A\] and \[\nu_B\] respectively. We have


A flywheel of moment of inertia 5⋅0 kg-m2 is rotated at a speed of 60 rad/s. Because of the friction at the axle it comes to rest in 5⋅0 minutes. Find (a) the average torque of the friction (b) the total work done by the friction and (c) the angular momentum of the wheel 1 minute before it stops rotating.


A particle of mass 5 units is moving with a uniform speed of v = `3sqrt 2` units in the XOY plane along the line y = x + 4. Find the magnitude of angular momentum


A particle of mass m is moving in yz-plane with a uniform velocity v with its trajectory running parallel to + ve y-axis and intersecting z-axis at z = a (Figure). The change in its angular momentum about the origin as it bounces elastically from a wall at y = constant is ______.


Figure shows two identical particles 1 and 2, each of mass m, moving in opposite directions with same speed v along parallel lines. At a particular instant, r1 and r2 are their respective position vectors drawn from point A which is in the plane of the parallel lines. Choose the correct options:

  1. Angular momentum l1 of particle 1 about A is l1 = mvd1
  2. Angular momentum l2 of particle 2 about A is l2 = mvr2
  3. Total angular momentum of the system about A is l = mv(r1 + r2)
  4. Total angular momentum of the system about A is l = mv (d2 − d1)

⊗ represents a unit vector coming out of the page.

⊗ represents a unit vector going into the page.


The net external torque on a system of particles about an axis is zero. Which of the following are compatible with it?

  1. The forces may be acting radially from a point on the axis.
  2. The forces may be acting on the axis of rotation.
  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.

A uniform cube of mass m and side a is placed on a frictionless horizontal surface. A vertical force F is applied to the edge as shown in figure. Match the following (most appropriate choice):

(a) mg/4 < F < mg/2 (i) Cube will move up.
(b) F > mg/2 (ii) Cube will not exhibit motion.
(c) F > mg (iii) Cube will begin to rotate and slip at A.
(d) F = mg/4 (iv) Normal reaction effectively at a/3 from A, no motion.

A solid sphere is rotating in free space. If the radius of the sphere is increased while keeping the mass the same, which one of the following will not be affected?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×