One side of the roof of a house slopes up at 37 deg. A roofer kicks a round, flat rock that has been thrown into the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15 m/s. The coef. of friction between the rock and the roof is 0.40. The rock slides 10.0 m up the roof to its peak. It crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. Determine the maximum height the rock reaches above the point where it was kicked.
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.
One side of the roof of a house slopes up at 37 deg. A roofer kicks a round, flat rock that has been thrown into the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15 m/s. The coef. of friction between the rock and the roof is 0.40. The rock slides 10.0 m up the roof to its peak. It crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. Determine the maximum height the rock reaches above the point where it was kicked.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images