A frictionless spring-operated latched is fitted to a door.
When the latch is pushed in, the spring compresses.
When the latch is released, which of the following best represents how acceleration a of the latch varies with the distance x it moves before stopping?
Elaborate chandeliers can be modelled as layers of hanging bars. The diagram shows one such model with a mass m suspended from two bars of negligible mass, connected by five light strings. Each layer has N number of strings.
Which expression gives the tension in any single string?
Two blocks, one made of wood and the other of iron, are arranged at rest on the ground.
Which of the following statements is correct?
The force exerted by the ground on the iron block in (1) is greater than the force exerted by the ground on the wooden block in (2) because the iron block, being denser than the wooden block, exerts more force on the ground.
The force exerted by the wooden block on the iron block in (1) is equal to that exerted by the iron block on the wooden block in (2) by virtue of Newton's third law.
The force exerted by the iron block on the wooden block in (1) is greater than that exerted by the wooden block on the iron block in (2).
The force exerted by the wooden block on the iron block is equal to the weight of the wooden block in (1) while the force exerted by the iron block on the wooden block is equal to the weight of the iron block in (2).
A pendulum bob hangs from the ceiling in a carriage in a train and is just above a certain mark on the floor when the train is at rest. When the train is moving with a constant velocity forward, which statement best outlines the position of the bob?
The bob is behind the mark, so that the pendulum thread is along the resultant of the forces due to the motion of the train and gravity.
The bob remains over the mark because the force due to the motion of the train is balanced by the reaction of the thread on the support.
The bob oscillates about the mark because of the unbalanced force due to the motion of the train.
The bob remains over the mark because the motion of the train produces no additional force on the bob.
Two bodies, X and Y, having masses mX and mY respectively, exert forces on each other and have no external forces acting on them. The force acting on X is F, which gives X an acceleration aX.
What is the magnitude of the force on Y and its acceleration?