41. A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
42. The practical units of work, is
43. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on
44. The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
45. Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
46. A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about
47. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is
48. The velocity ratio of the differential wheel and axle is
49. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘$${\text{g}}$$’ is acceleration due to gravity and $$\theta $$ is inclination of plane with horizontal.)
50. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will
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