A box starting from rest slides down from the top of a frictionless plane which is 3m long and inclined 300 with the horizontal. (a) find the velocity of the box as it reaches the foot of the plane (b) how long does it take the box to reach the bottom of the plane?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A box starting from rest slides down from the top of a frictionless plane which is 3m long and inclined 300 with the horizontal. (a) find the velocity of the box as it reaches the foot of the plane (b) how long does it take the box to reach the bottom of the plane?
An elevator weighing 9800N is supported by a steel cable. (a) Find the tension in the cable at rest, when the elevator is moving up at a uniform speed of 1m/s, and when it is descending at a constant speed of 3m/s. (b) Find the tension in the cable when the elevator is accelerated upward at 5m/s2. (c) Find the tension in the cable when it is descending with an acceleration of 5m/s2.
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