plane motion of rigid bodies problems and solutions

Space motion is a type of rigid body motion in which the velocity vectors of all the moving points (of the body) do not lie in a single plane.Įxample of space motion is the motion of the particles of a spinning top. Rotational Motion: Motion of a rigid body which takes place in such a way that all of its particles move in circles about an axis with a common angular velocity. Rectilinear translation is the motion of particles in a straight line and curvilinear translation is the motion of particles in a curved path.Įxample of both rotation and translation is the particles of a hinged object ( as shown in figure). Plane Motion of Rigid Bodies: Forces and Accelerations Group Problem Solving 2 - SOLUTION: Given: rear wheel drive, dimensions as shown, m 0. The idea of rigid body and rigid body dynamics arose to solve a wide range of mechanical problems that could not be analysed with old classical physics.

Pure translation can be further subdivided into two types. The kinetic equations of rectilinear translation are obtained from the general equation governing the motion of the centre of gravity. Plane motion can also be categorized into three sub-types.Įxample of pure rotation is the motion of the particles of a wheel rotating on its own axis.Įxample of pure translation is the motion of the particles of a wheel rolling on a plane surface. In rectilinear translation of a rigid body all particles of the body move in parallel straight lines, and hence the displacement, velocity, and acceleration of any particle are parallel to the line of motion. Plane motion is a type of rigid body motion in which the velocity vectors of all the moving points (of the body) lie in a single plane. Now let us understand each type of rigid body motion in detail. Motion of a rigid body can be broadly divided into two categories We can also say that in a rigid body deformation is zero or so small that it can be neglected. But before moving further in our topic let us first understand the definition of a rigid body.Ī rigid body is a solid body in which the distance between two points remains constant irrespective of the action of external forces. M 6N m SOLUTION: Consider a system consisting of the two gears. Neglecting friction, a) determine the number of revolutions of gear B before its angular velocity reaches 600 rpm, and b) tangential force exerted by gear B on gear A. In this article we will try to understand motion of a rigid body and its different types. Problem 8 3kg 80mm 10kg 200mm B B A A m k m k The system is at rest when a moment of is applied to gear B. Rigid Body Motion or Motion of a Rigid Body

Rigid Body Motion or Motion of a Rigid Body.

Plane motion of rigid bodies problems and solutions