Laws of Motion ...

If four forces act at a point 'o' as shown in the figure and if O is in equilibrium then the value of '$$\theta $$' & 'p' are 

A simple pendulum has length l. The minimum velocity to be pendulum so that it performs vertical circular motion is

A bullet of mass $$50$$ gram is fired from a $$5kg$$ gun with a velocity of $$1km/s$$, the speed of recoil of the gun is

A rod of mass $$5\ kg$$ is suspended with the help of two strings as shown in figure and remains in equilibrium. Linear mass density of rod is given by $$\mu = \lambda x^n$$ where $$x$$ is distance from left end of the rod. The value of $$n$$ is.

A cyclist is riding at a speed of $$ 14 \sqrt { 3 } m/s  $$ and takes a turn around a circular road of radius $$ 20\sqrt { 3 }  m $$. Its inclination to the vertical is

A circular coil radius 4 cm having 50 turns carries a current of 2A. it is placed in a uniform magnetic field of intensity 0.1 T. the work done to rotate the coil from the equilibrium position through $${ 180 }^{ \circ  }$$ is

If the action and reaction forces are always equal in magnitude, then these forces

A bullet of mass $$m$$ and speed $$v$$ hits a pendulum bob of mass $$M$$ at time $$t _ { 1 }$$ and passes completely through the bob. The bullet emerges at time $$t _ { 2 }$$ with a speed of $$v / 2$$. The pendulum bob is suspended by a stiff rod of length $$l$$ and negligible mass. After the collision, the bob can barely swing through a complete vertical circle.At time $$t _ { 3 }$$ , the bob reaches the highest position.What quantities are conserved in this process? 

A wire of density $$\rho  $$and cross-sectional area A forms three side of a square and is free to rotate the horizontal axis $${ OO }^{ 1 }.$$ A magnetic field B exists in the vertically upward direction. When a current k is passed through the wire, the system comes to equilibrium at angle $$\theta $$ to the vertical.Then the value of $$\theta $$ is given by.

A write of density $$p$$ and cross-sectional area A forms three sides if a square and is free to rotate about the horizontal axis $${ OO }^{ 1 }$$. A magnetic field B exist in the vertically upward direction. When a current  i is   passed through the wire, the system come to equilibrium at angle $$\theta $$ to the vertical. Then the value if $$\theta $$ is given by