A heavy iron rod of weight W is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle ፀ with the horizontal. What is the weight experienced by the man?

(a)

W sin ፀ

(b)

W cos ፀ

(c)

W

(d)

\(\frac { W }{ 2 } \)

A ship of mass 3\(\times\) 10⁶ kg initially at rest is pulled by a force of 6 \(\times\) 10⁴ N through a distance of 4m. The speed of the ship is (Assume resistive of water is negligible)

(a)

1.5 m/s

(b)

20 m/s

(c)

0.5 m/s

(d)

0.4 m/s

Two blocks A & B of masses 2m & m are connected by a massless and inextensible strong. The magnitudes of acceleration of A & B immediately after the string is cut are ____________.

(a)

\(\frac { g }{ 2 } \),g

(b)

g,g

(c)

g,\(\frac { g }{ 2 } \)

(d)

\(\frac { g }{ 2 } \),\(\frac { g }{ 2 } \)

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. A force F is applied at the free end of the rope. The force exerted by the rope on the block ____________.

(a)

\(\frac { MF }{ M+m } \)

(b)

\(\frac { M+m }{ MF } \)

(c)

\(\frac { M }{ M-m } \) .F

(d)

\(\frac { M-m }{ M } \) .F

Three forces F₂, F₂ & F₃ are acting on a particle of mass m such that F₂ & F₃ are mutually perpendicular, then the particle remains stationary. If the force F₁ is now removed, then the acceleration of the particle is _____________.

(a)

\(\frac { { F }_{ 1 } }{ m } \)

(b)

\(\frac { { F }_{ 2 }{ F }_{ 3 } }{ mF } \)

(c)

\(\frac { { F }_{ 2 }-{ F }_{ 3 } }{ m } \)

(d)

\(\frac { { F }_{ 2 } }{ m } \)