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9TH CLASSES PHYSICS DAILY PLAN SUBJECT: TORQUE AND EQUILIBRIUM GOALS: DURATION: IN PRACTICE: If there are two or more forces acting on an object, then each has a tendency to produce a rotation about the pivot at O and ; NET = 1 + 2 + 3 +….. Ex: According to given fig. compare the torques of F 1, F2 and F3 . F1=10N PRESENTATION: 0,5m The term equilibrium implies either that the object is at rest or that its centre of mass moves with constant velocity. We deal here only with the former, which are referred to as objects in static equilibrium. 0,5m F3=20N 0,5m O 370 F2=20N STATIC EQUILIBRIUM Static equilibrium represents a common situation in engineering practice, and the principles involved are of special interest to civil engineers, architects, and mechanical engineers. In order for an object to be in static equilibrium, the net force on it must be zero and the object must have no tendency to rotate. Therefore there exist two cases for static equilibrium and they must be satisfied. When a force is exerted on an object pivoted about some axis, the body will tend to rotate about that axis. 1. FNET=0 FxNET=0 & FyNET=0 (translational equilibrium) The tendency of a force to rotate a body about some axis is measured by a quantity called the torque and symbolized by (Greek letter tau). F According to rotational axis of an object the net torque acting on the object must be zero. NET = 0 ( rotational equilibrium ) l O 2. The resultant force acting on that body must be zero. F1 NOTE: Torque about a point O is the product of the force and the perpendicular distance of its line of action from the point O. = F. l Torque is a vector quantity. The direction of a torque is along the axis of rotation and it is found by the right - hand rule. FORCE ( F ) N F2 If the resultant force of the given three forces is zero: TORQUE ( ) N.m DISTANCE ( l ) m F3 F1/sin =F2/sin=F3/sin If < < F3 > F2 > F1 Let be the angle between F and l ; This is known as Lami Theorem. F y l O F Ex: According to given figure find the magnitudes of tension ( T ) in the string and force ( F ). F x 370 T d =F.d d = l sin = Fy.l Fy = Fsin F W=10N = F.l.sin Ex: 530 T1 = F.l.sin P=10N 370 T2 HOMEWORK: MULTIMEDIA: DEMONSTRATION: EXPERIMENT: TEACHER: DIRECTOR: