2 4. A rod of length 2 cm makes an angle rad with the principal axis...

   

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2 4. A rod of length 2 cm makes an angle rad with the principal axis of a thin convex lens. The lens has a focal 3 40 3 cm from the object as shown in the figure. The height of the length of 10 cm and is placed at a distance of 303 image is 13 where n is cm and the angle made by it with respect to the principal axis is a rad. The value of a is = rad, n 2 23 40 cm 303 cm 13 5. At time t = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of = rad s . A small stone is stuck to the disk. At t = 0, it is at the contact point of the disk and the plane. Later, at time t = s, the stone detaches itself and flies off tangentially from the disk. The maximum height (in m) reached by the stone measured from the plane is 1 X +- 2 10 . The value of x is [Take g = 10 ms 2.] 6. A solid sphere of mass 1 kg and radius 1 m rolls without slipping on a fixed inclined plane with an angle of inclination 0 = 30 from the horizontal. Two forces of magnitude 1 N each, parallel to the incline, act on the sphere, both at distance r = 0.5 m from the center of the sphere, as shown in the figure. The acceleration of the sphere down the plane is_ ms 2. (Take g = 10 ms-2.) 2 4. A rod of length 2 cm makes an angle rad with the principal axis of a thin convex lens. The lens has a focal 3 40 3 cm from the object as shown in the figure. The height of the length of 10 cm and is placed at a distance of 303 image is 13 where n is cm and the angle made by it with respect to the principal axis is a rad. The value of a is = rad, n 2 23 40 cm 303 cm 13 5. At time t = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of = rad s . A small stone is stuck to the disk. At t = 0, it is at the contact point of the disk and the plane. Later, at time t = s, the stone detaches itself and flies off tangentially from the disk. The maximum height (in m) reached by the stone measured from the plane is 1 X +- 2 10 . The value of x is [Take g = 10 ms 2.] 6. A solid sphere of mass 1 kg and radius 1 m rolls without slipping on a fixed inclined plane with an angle of inclination 0 = 30 from the horizontal. Two forces of magnitude 1 N each, parallel to the incline, act on the sphere, both at distance r = 0.5 m from the center of the sphere, as shown in the figure. The acceleration of the sphere down the plane is_ ms 2. (Take g = 10 ms-2.)