Related Questions to study
Physics
A disc (of radius r cm) of uniform thickness and uniform density 
has a square hole with sides of length 
. One corner of the hole is located at the centre of the disc and centre of the hole lies on y-axis as shown. Then the y -coordinate of position of centre of mass of disc with hole (in cm) is
A disc (of radius r cm) of uniform thickness and uniform density has a square hole with sides of length . One corner of the hole is located at the centre of the disc and centre of the hole lies on y-axis as shown. Then the y -coordinate of position of centre of mass of disc with hole (in cm) is
PhysicsMechanics
Physics
From the circular disc of radius 4 R two small disc of radius R are cut off. The centre of mass of the new structure will be:
From the circular disc of radius 4 R two small disc of radius R are cut off. The centre of mass of the new structure will be:
PhysicsMechanics
Physics
Eight solid uniform cubes of edge l are stacked together to form a single cube with centre O. One cube is removed from this system. Distance of the centre of mass of remaining 7 cubes from O is
Eight solid uniform cubes of edge l are stacked together to form a single cube with centre O. One cube is removed from this system. Distance of the centre of mass of remaining 7 cubes from O is
PhysicsMechanics
Physics
A wire of uniform cross-section is bent in the shape shown in figure. The co-ordinate of the centre of mass of each side are shown in (figure). The coordinates of the centre of mass of the system are
A wire of uniform cross-section is bent in the shape shown in figure. The co-ordinate of the centre of mass of each side are shown in (figure). The coordinates of the centre of mass of the system are
PhysicsMechanics
Physics
Five uniform circular plates, each of diameter b and mass m are laid out in a pattern shown. Using the origin shown. find the y co-ordinate of the centre of mass of the five-plate system.
Five uniform circular plates, each of diameter b and mass m are laid out in a pattern shown. Using the origin shown. find the y co-ordinate of the centre of mass of the five-plate system.
PhysicsMechanics
Physics
A square of side a and uniform thickness is divided into four equal parts. If upper right part is removed, then find the coordinates of centre of mass of remaining part.
A square of side a and uniform thickness is divided into four equal parts. If upper right part is removed, then find the coordinates of centre of mass of remaining part.
PhysicsMechanics
Physics
Three particles of masses 
, and 2 kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are
Three particles of masses , and 2 kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are
PhysicsMechanics
Physics
A small body slides down a smooth uneven surface from a height H, which eventually emerges into a circular loop of radius R(<H) what should be the value of H, so the that force on the body at A is 
times its weight?
A small body slides down a smooth uneven surface from a height H, which eventually emerges into a circular loop of radius R(<H) what should be the value of H, so the that force on the body at A is times its weight?
PhysicsMechanics
Physics
A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the center of the circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion 
A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the center of the circle. Assuming the total energy of the ball-Earth system remains constant. What is the difference of tension in string at bottom and top during circular motion
PhysicsMechanics
Physics
A particle moves from rest at A on the surface of a smooth circular cylinder of radius r as shown. At B it leaves the cylinder. The equation relating 
is
A particle moves from rest at A on the surface of a smooth circular cylinder of radius r as shown. At B it leaves the cylinder. The equation relating is
PhysicsMechanics
Physics
Three identical particles each of mass 1kg are placed with their centres on a straight line. Their centres are marked A,B and C respectively. The distance of centre of mass of the system from A is
Three identical particles each of mass 1kg are placed with their centres on a straight line. Their centres are marked A,B and C respectively. The distance of centre of mass of the system from A is
PhysicsMechanics
Physics
A homogeneous plate P Q R S T is as shown in figure. The centre of mass of plate lies at midpoint A of segment QT. Then the ratio of is 
A homogeneous plate P Q R S T is as shown in figure. The centre of mass of plate lies at midpoint A of segment QT. Then the ratio of is
PhysicsMechanics
Physics
A small block slides with velocity 
on the horizontal frictionless surface as shown in the fig. The block leaves the surface at point C The angle 
in the figure is:
A small block slides with velocity on the horizontal frictionless surface as shown in the fig. The block leaves the surface at point C The angle in the figure is:
PhysicsMechanics
Physics
A weightless rod of length 2l carries two equal masses ‘m’, one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in horizontal position. The speed of the mass B at the instant rod, become vertical is:
A weightless rod of length 2l carries two equal masses ‘m’, one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in horizontal position. The speed of the mass B at the instant rod, become vertical is:
PhysicsMechanics
Physics
A stone of mass 1 kg tied to a light inextensible string of length 
is whirling in a circular path of radius L in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10 m / sec2, the speed of the stone at the highest point of the circle is
A stone of mass 1 kg tied to a light inextensible string of length is whirling in a circular path of radius L in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10 m / sec2, the speed of the stone at the highest point of the circle is
PhysicsMechanics
