A rope of mass 2.0 kg is fastened at one end to the ceiling of an elevator, and the other end hangs free. The elevator is moving downwards and is slowing down at a rate of 2.00 m/s^2. Find the tension in the rope at (a) the point attached to the ceiling, (b) the middle point, and (c) the lower end. Assume the density of the rope is uniform. Justify your answers by drawing free-body diagrams and applying Newton's laws. (d) Please also indicate the direction of the acceleration of the rope.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A rope of mass 2.0 kg is fastened at one end to the ceiling of an elevator, and the other end hangs free. The elevator is moving downwards and is slowing down at a rate of 2.00 m/s^2. Find the tension in the rope at (a) the point attached to the ceiling, (b) the middle point, and (c) the lower end. Assume the density of the rope is uniform. Justify your answers by drawing free-body diagrams and applying Newton's laws. (d) Please also indicate the direction of the acceleration of the rope.
Step by step
Solved in 5 steps with 4 images
