PROBLEM STATEMENT: A truck carries a crate which can slide. Suppose the truck and crate are traveling to the right at an initial velocity of v0 and the distance between the front of the crate and the front of the trailer is d0. The brakes are applied and the truck decelerates with constant acceleration and stops in time ts. a.) Express the truck's acceleration aT < 0 in terms of velocity and stopping time. MY ANSWER: From the equation of motion: v = v0+at 0=v0-ats a=v0/ts I'm pretty sure this is correct. b.) Assume the truck brakes hard enough that the crate slides to the right relative to the truck. The coefficient of friction (static and dynamic) is mu. Write the equations of motion for the crate, then express the relative acceleration of the crate with respect to the truck, ac/t before and after the truck stops. Express it in terms of the given quantities v0, ts, mu, and g. This is the part I am not so sure about. I'm not exactly sure how to approach this part.
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.
PROBLEM STATEMENT:
A truck carries a crate which can slide. Suppose the truck and crate are traveling to the right at an initial velocity of v0 and the distance between the front of the crate and the front of the trailer is d0. The brakes are applied and the truck decelerates with constant acceleration and stops in time ts.
a.) Express the truck's acceleration aT < 0 in terms of velocity and stopping time.
MY ANSWER: From the equation of motion:
v = v0+at
0=v0-ats
a=v0/ts
I'm pretty sure this is correct.
b.) Assume the truck brakes hard enough that the crate slides to the right relative to the truck. The coefficient of friction (static and dynamic) is mu. Write the equations of motion for the crate, then express the relative acceleration of the crate with respect to the truck, ac/t before and after the truck stops. Express it in terms of the given quantities v0, ts, mu, and g.
This is the part I am not so sure about. I'm not exactly sure how to approach this part.
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