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Dynamics (5)

- Angle of banking
- Force of attraction between two masses separated by distance
- Maximum velocity to avoid overturning of a vehicle along a level circular path
- Maximum velocity to avoid skidding away of a vehicle along a level circular path
- Superelevation in railways

Elastic bodies (9)

- Coefficient of restitution of a freely falling body having height and bounce
- Coefficient of restitution of two colliding bodies
- Loss of kinetic energy, during impact
- Total kinetic energy of the two bodies, before impact
- Total kinetic energy of two bodies, after impact
- Velocity of approach
- velocity of approach in indirect impact of a body with a fixed plane
- Velocity of separation after impact
- velocity of separation in indirect impact of a body with a fixed plane

Friction (23)

- Angle of repose
- Coefficient of Friction
- Coefficient of Friction between the cylinder and the surface of inclined plane if cylinder is rolling without slipping down
- Efficiency of inclined plane when effort applied horizontally to move the body in downward direction on inclined plane
- Efficiency of inclined plane when effort applied horizontally to move the body in upward direction on inclined plane
- Efficiency of inclined plane when effort applied parallel to move the body in downward direction on inclined plane
- Efficiency of inclined plane when effort applied parallel to move the body in upward direction on inclined plane
- Efficiency of inclined plane when effort applied to move the body in downward direction on inclined plane
- Efficiency of inclined plane when effort applied to move the body in upward direction on inclined plane
- Effort applied parallel to inclined plane to move the body in downward direction considering friction
- 13 More formulas!

Lifting machines (12)

- Effort required by machine to overcome resistance to get work done
- Frictional effort lost
- Ideal effort if load and velocity ratio is known
- Ideal load if velocity ratio and effort is known
- Load lifted if effort and mechanical advantage is known
- Mechanical advantage if load and effort is known
- Net shortening of the chain in weston's differential pulley block
- Net shortening of the string in worm gear pulley block
- Torque required while load is ascending in screw jack
- Torque required while load is descending in screw jack
- 2 More formulas!

Velocity ratio (13)

- velocity ratio if distance moved due to effort and distance moved due to load is known
- velocity ratio in weston's differential pulley block
- velocity ratio in weston's differential pulley in terms of number of teeth
- velocity ratio in weston's differential pulley in terms of radius of pulleys
- Velocity ratio of a differential screw jack
- Velocity ratio of a simple screw jack
- Velocity ratio of a worm and worm wheel
- Velocity ratio of a worm and worm wheel, if the worm has multiple threads
- Velocity ratio of a worm and worm wheel, If the worm is double-threaded
- Velocity ratio of a worm geared pulley block
- 3 More formulas!

efficiency of machines (8)

- Efficiency of differential screw jack
- Efficiency of geared pulley block
- Efficiency of screw jack
- Efficiency of the machine if mechanical advantage and velocity ratio is known
- Efficiency of weston's differential pulley block
- Efficiency of worm and worm wheel
- Efficiency of worm geared pulley block
- Efficiency of worm geared screw jack

Motion of Connected Bodies

Properties of surfaces and solids (3)

- Moment of inertia if radius of gyration is known
- Moment of inertia of circle about diametrical axis
- Radius of gyration if moment of inertia and area is known

Area moment of inertia (7)

- Moment of inertia of hollow circle about diametrical axis
- Moment of inertia of hollow rectangle about centroidal axis x-x parallel to breadth
- Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth
- Moment of inertia of rectangle about centroidal axis along y-y parallel to length
- Moment of inertia of the semicircular section about its base
- Moment of inertia of the semicircular section through center of gravity, parallel to base
- Moment of inertia of triangle about centroidal axis x-x parallel to base

Mass moment of inertia (29)

- Mass moment of inertia of circular plate about x-axis passing through centroid
- Mass moment of inertia of circular plate about y-axis passing through centroid
- Mass moment of inertia of circular plate about z-axis through centroid, perpendicular to plate
- Mass moment of inertia of cone about x-axis passing through centroid, perpendicular to base
- Mass moment of inertia of cone about y-axis perpendicular to height, passing through apex point
- Mass moment of inertia of cuboid about x-axis passing through centroid, parallel to length
- Mass moment of inertia of cuboid about y-axis passing through centroid
- Mass moment of inertia of cuboid about z-axis passing through centroid
- Mass moment of inertia of rectangular plate about x-axis through centroid, parallel to length
- Mass moment of inertia of rectangular plate about y-axis through centroid, parallel to breadth
- 19 More formulas!

Projectiles (7)

- Horizontal component of velocity of a particle projected upwards from a point at an angle
- Horizontal range of a projectile
- Horizontal range of a projectile, if horizontal velocity and time of flight is known
- Initial velocity, if maximum horizontal range of a projectile is known
- Maximum height of a projectile on a horizontal plane
- Maximum height of a projectile on a horizontal plane, if average vertical velocity is known
- Maximum horizontal range of a projectile

Statics of particles (7)

- Inclination of resultant of two forces acting on a particle
- Resolution of force with angle (θ) along horizontal direction
- Resolution of force with angle (θ) along vertical direction
- Resultant of two forces acting on a particle at 0°
- Resultant of two forces acting on a particle at 180°
- Resultant of two forces acting on a particle at 90°
- Resultant of two forces acting on a particle with an angle(θ)

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