Physics-
General
Easy
Question
The moment of inertia of a thin square plate ABCD, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is ( where 
and 
are respectively moments of inertia about axis 1, 2, 3 and 4 which are in the plane of the plate)
The correct answer is:
Related Questions to study
physics-
A uniform disc is rolling on a horizontal surface. At a certain instant B is the point of contact and A is at height 2R from ground, where R is radius of disc
A uniform disc is rolling on a horizontal surface. At a certain instant B is the point of contact and A is at height 2R from ground, where R is radius of disc
physics-General
physics-
In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then
In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then
physics-General
physics-
A uniform circular disc placed on a rough horizontal surface has initially velocity 
and an angular velocity 
as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then 
is
A uniform circular disc placed on a rough horizontal surface has initially velocity and an angular velocity as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then is
physics-General
physics-
A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed . The kinetic energy of the system is : (slipping is absent)
A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed . The kinetic energy of the system is : (slipping is absent)
physics-General
physics-
A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
physics-General
physics-
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is
physics-General
physics-
A sphere is placed rotating with its centre initially at rest in a corner as shown in figure (A) & (B). Coefficient of friction between all surfaces and the sphere is 
. Find the ratio of the frictional force 
by ground in situations (A) & (B)
A sphere is placed rotating with its centre initially at rest in a corner as shown in figure (A) & (B). Coefficient of friction between all surfaces and the sphere is . Find the ratio of the frictional force by ground in situations (A) & (B)
physics-General
physics-
A hinged construction consists of three rhombus with the ratio of sides 5:3:2. Vertex 
moves in the horizontal direction at a velocity v. Velocity of 
is
A hinged construction consists of three rhombus with the ratio of sides 5:3:2. Vertex moves in the horizontal direction at a velocity v. Velocity of is
physics-General
physics-
A man can move on a horizontal plank supported symmetrically as shown. The variation of normal reaction on support A with distance x of the man from the end of the plank is best represented by
A man can move on a horizontal plank supported symmetrically as shown. The variation of normal reaction on support A with distance x of the man from the end of the plank is best represented by
physics-General
physics-
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of inertia of the rod is same as that about O is
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of inertia of the rod is same as that about O is
physics-General
physics-
A ring of radius 3a is fixed rigidly on a table. A small ring whose mass is m and radius a, rolls without slipping inside it as shown in the figure. The small ring is released from position A. When it reaches at the lowest point, the speed of the centre of the ring at that time would be-
A ring of radius 3a is fixed rigidly on a table. A small ring whose mass is m and radius a, rolls without slipping inside it as shown in the figure. The small ring is released from position A. When it reaches at the lowest point, the speed of the centre of the ring at that time would be-
physics-General
physics-
The moment of inertia of semicircular plate of radius R and mass M about axis AA' in its plane passing through its centre is
The moment of inertia of semicircular plate of radius R and mass M about axis AA' in its plane passing through its centre is
physics-General
physics-
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force ‘F’ is applied at height ‘h’ from the lowest point. For the maximum acceleration of centre of mass, which is correct-
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force ‘F’ is applied at height ‘h’ from the lowest point. For the maximum acceleration of centre of mass, which is correct-
physics-General
physics-
A solid sphere is placed on a horizontal plane. A horizontal impulse I is applied at a distance h above the central line as shown in the figure. Soon after giving the impulse the sphere starts rolling. The ratio h/R would be-
A solid sphere is placed on a horizontal plane. A horizontal impulse I is applied at a distance h above the central line as shown in the figure. Soon after giving the impulse the sphere starts rolling. The ratio h/R would be-
physics-General
physics-
Two spheres each of mass M and radius R/2 are connected with a mass less rod of length 2R as shown in the-figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
Two spheres each of mass M and radius R/2 are connected with a mass less rod of length 2R as shown in the-figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
physics-General
