Question
The principal value of 
where 
is
The correct answer is:
Related Questions to study
In the arrangement shown in figure all surfaces are smooth. Select the correct alternative(s)
In the arrangement shown in figure all surfaces are smooth. Select the correct alternative(s)
If 
then 
= - ... -
If then = - ... -
In the pulley system shown in figure the movable pulleys A,B and C are of mass 1 kg each. D and E are fixed pulleys. The strings are light and inextensible. Choose the correct alternative(s). All pulleys are frictionless.
In the pulley system shown in figure the movable pulleys A,B and C are of mass 1 kg each. D and E are fixed pulleys. The strings are light and inextensible. Choose the correct alternative(s). All pulleys are frictionless.
The motion of a particle along a straight line is described by equation:
Where 
is in metre and 
in second. The retardation of the particle when its velocity becomes zero, is
Retardation
The motion of a particle along a straight line is described by equation:
Where is in metre and in second. The retardation of the particle when its velocity becomes zero, is
Retardation
The velocity-time and acceleration-time graphs of a particle are given as
Its position-time graph may be given as
The velocity-time and acceleration-time graphs of a particle are given as
Its position-time graph may be given as
A body is moving in a straight line a shown in velocity-time graph. The displacement and distance travelled by in 8s are respectively
12m
=20mA body is moving in a straight line a shown in velocity-time graph. The displacement and distance travelled by in 8s are respectively
12m=20m
In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is 
In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is
Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest
Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest
The velocity-time graph of a particle in linear motion is shown. Both 
and are in SI units. What is the displacement of the particle from the origin after 8 s?
mThe velocity-time graph of a particle in linear motion is shown. Both and are in SI units. What is the displacement of the particle from the origin after 8 s?
m
If 
has a real solution then
If has a real solution then
In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is
In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is
The equation 
has
The equation has
A particle is moving along the circle 
in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point 
, the unit vector in the direction of friction on the particle is
A particle is moving along the circle in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point , the unit vector in the direction of friction on the particle is
If 
then the solution set in 
is
If then the solution set in is
A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man
A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man
