Angular acceleration of a particle may be expressed as
Angular acceleration of a particle may be expressed as
A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
The centre of gravity of a homogeneous body is the point at which the whole
The centre of gravity of a homogeneous body is the point at which the whole
If a set of given forces are such that their free vectors build a closed polygon, then
If a set of given forces are such that their free vectors build a closed polygon, then
Which of the following represents the state of neutral equilibrium?
Which of the following represents the state of neutral equilibrium?
The angle of projection at which the horizontal range and maximum height of a projectile are equal to
The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is
A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
The angle of projection at which the horizontal range and maximum height of a projectile are equal to
The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of
The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of
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
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
The shape of a suspended cable under its own weight, is
The shape of a suspended cable under its own weight, is
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
A rigid body is in a stable equilibrium if the application of any force
A rigid body is in a stable equilibrium if the application of any force
The practical units of work, is
The practical units of work, is
The graphical method of determining the forces in the members of a truss is based on
The graphical method of determining the forces in the members of a truss is based on
The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are
The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are
A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals
The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
The bending moment in an arch is proportional to
The bending moment in an arch is proportional to
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)
The velocity ratio of the differential wheel and axle is
The velocity ratio of the differential wheel and axle is
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
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
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?
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 ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)
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 ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)
Equation of motion of a point in a straight line, is
Equation of motion of a point in a straight line, is
Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
In simple harmonic motion, acceleration of a particle is proportional to
In simple harmonic motion, acceleration of a particle is proportional to
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
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
A smooth cylinder lying on its convex surface remains
A smooth cylinder lying on its convex surface remains
If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
The unit of Moment of Inertia of a body, is
The unit of Moment of Inertia of a body, is
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
What is the answer to this question?
What is the answer to this question?
What is the answer to this question?
What is the answer to this question?
Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
A stone is whirled in a vertical circle, the tension in the string, is maximum
A stone is whirled in a vertical circle, the tension in the string, is maximum
A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
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
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
Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is
Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
The following is in unstable equilibrium
The following is in unstable equilibrium
The tension in a cable supporting a lift
The tension in a cable supporting a lift
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are
The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
