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Q: When a cannon is rigidly mounted to the deck of a large boat and subsequently fired is the momentum conserved?
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When a ball rolls down a hill and gains momentum is the law of momentum conservation violated?

No it is not! The hill is moving in the opposite direction. You do not perceive the motion of the hill since it move sooo slowly... When the ball will stop with respect to the hill (for instance because of an obstacle rigidly connected to the hill) then the hill will stop too. And the potential energy of the ball will be transformed into heat and sound.


Is rigid an adjective?

Yes, rigid is an adjective. Rigidly is an adverb. Rigidity is a noun.


Can objects with different masses have the same momentum?

Yes. Momentum is rigidly defined as the product of mass and velocity. Velocity describes both a speed and a direction. So let's take two metal balls. One weighs 10 kilograms (kg) and the other weighs 20kg. We roll the 10kg ball along a flat and level floor at 2 meters per second (m/s) and the 20 kg ball at 1 m/s. 10*2 = 20*1 so they have the same momentum. If you have a friend roll the balls for you to catch some distance away, making sure after a few tests to roll the lighter ball at twice the speed of the heavier ball, you will find that it "feels" as if both balls hit your hand with about the same force. Your hand is stopping each ball. That is a force which is defined as the rate of change in momentum. Stopping each ball will cause your muscles to exert about the same strength to stop each ball, even though one is moving at double the speed of the other. You will then feel that two objects can indeed travel at different speeds and yet have the same momentum. JGS


What does the word rigid means?

Someone or something that is stiff and unyielding, such as--> The flag pole stood rigidly in the field.


What is difference center of shear and center of twist?

The shear center is the point on a beam cross section at which an applied shear force (lateral load or load parallel to the cross section) will produce bending but no twisting of the section. The center of twist is a point in a cross section that remains stationary when a twisting moment (torque) is applied on that cross section. The shear center and twist center are the same point only when the beam is rigidly supported.