1.) A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 2.50 s. You may ignore air resistance, so the brick is in free fall. (a) How tall, in meters, is the building? (b) What is the magnitude of the brick’s velocity just before it reaches the ground? (c) Sketch a − t, v − t, and y − t graphs for the brick's motion. 2.) Suppose the block in Problem No. 1 has a rubber bottom, and the ramp is made of concrete. The approximate friction coefficients of rubber on dry concrete are μs = 0.9 and μk = 0.68. At what angle α will the block start to slide down the incline?
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.
1.) A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 2.50 s. You may ignore air resistance, so the brick is in free fall. (a) How tall, in meters, is the building? (b) What is the magnitude of the brick’s velocity just before it reaches the ground? (c) Sketch a − t, v − t, and y − t graphs for the brick's motion.
2.) Suppose the block in Problem No. 1 has a rubber bottom, and the ramp is made of concrete. The approximate friction coefficients of rubber on dry concrete are μs = 0.9 and μk = 0.68. At what angle α will the block start to slide down the incline?
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