If the horizontal range is 2.5 times the greatest height, the angle of projectio

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Question
If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
Options
A. 57�
B. 58�
C. 59�
D. 60�.

Correct Answer

58�

Applied Mechanics problems

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2. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
Options
A. 17.5 kg
B. 19.5 kg
C. 22.5 kg
D. 25 kg.

3. When a body of mass M₁ is hanging freely and an other of mass M₂ lying on a smooth inclined plane(?) are connected by a light indextensible string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by
Options
A.
B.
C.
D.

5. The resolved part of the resultant of two forces inclined at an angle ? in a given direction is
Options
A. algebraic sum of the resolved parts of the forces in the direction
B. arithmetical sum of the resolved parts of the forces in the direction
C. difference of the forces multiplied by cosine ?�
D. sum of the forces multiplied by the sine ?
E. sum of the forces multiplied by the tangent ?�.

6. To avoid bending action at the base of a pier,
Options
A. suspension and anchor cables are kept at the same level
B. suspension and anchor cables are fixed to pier top
C. suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
D. none the these.

8. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
Options
A. uneven distribution of the gravitational field
B. gravity of the sun and the moon
C. aerodynamic forces
D. none of these.

9. A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be
Options
A. 48 kg
B. 60 kg
C. 72 kg
D. none of these.

10. Lami's theroem states that
Options
A. three forces acting at a point are always in equilibrium
B. if three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. three coplaner forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. three coplaner forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
E. none of these.

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