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Arrange the comparative stabilities of the three objects shown in the figure in terms of work and potential energy.
A object’s stability depends upon its centre of gravity.the larger the centre of gravity the more stable,By looking at the figures we can easily figure out which is more stable.
The figure shows a dish kept at an orientation with a marble placed on it. If the marble in figure is displaced slightly, it would rattle about for a while and come to rest in its original place. This is an example of :
If a dish is kept at an orientation with a marble placed on it and if the marble in figure is displaced slightly, it would rattle about for a while and come to rest in its original place. This is the example of Stable Equilibrium.
When a body tries to regain its equilibrium position after being slightly displaced and released, it is said to be in stable equilibrium.
The rock has a mass of 1 kg. What is the mass of the measuring stick if it is balanced by a support force at the one-quarter mark? The centre of mass of the measuring stick is at the one-half mark, one-quarter of the stick’s length beyond the pivot.
The stick is balanced by the 1 kg rock that is one-quarter of its length to the left and by its own weigh which is at the Centre of Mass, one-quarter of its length to the right. Therefore, the mass of the stick must be one kilogram, 1 kg.
A pair of equal and opposite forces with different line of action are said to form a
When two forces of equal magnitude opposite in direction and acting along parallel straight lines, then they are said to form a couple. The perpendicular distance between the two force forming a couple is called the arm of the couple.
A meter rule is supported at its centre. It is balanced by two weights, A and B. If A and B are placed at a distance 20 cm, and 40 cm from the centre of scale, find the weight of B. The weight of A is 50N.
In balanced condition torque of the both sides must be equal so Fa × Da = Fb × Db
50 × 20 = Fb × 40
Fb = 25 N
In order to rotate a body, we need to apply
In order to rotate a body, we need to apply two equal forces at two ends but in the opposite direction.
Determine the force that must be applied to end of the class 1 lever shown below to lift the 500 lb load.
Balance the 2 opposite moments of inertia on the 2 sides
1 × 500 = F × 5
F = 100
Five forces are separately applied to a flat object lying on a table of negligible friction as shown in figure. The force which will not cause the object to rotate about the centre of the object is
The line of action of F2 passes through the centre of rotation, and thus cannot produce a torque about the centre (r = 0).
Which of the following appliance works on the principle of moments.
In beam balance we consider the torque at centre of beam which is moment of force at its each end.
There are two blocks of mass 3 kg and 5 kg hanging from the ends of a rod of negligible mass. The rod is marked in eight equal parts as shown. At which of the points indicated should a string be attached if a rod is to remain horizontal when suspended from the string?
This is based on torque balance, That is F.d=const.
by solving we get d=5.
and at point 5=E