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:**
3. Find \( \mu \) so the block slides to the right at a constant speed of 2 m/s.
**Given Diagram Details:**
- An 8 kg block is on a horizontal surface.
- A force of 60 N is applied at a 30° angle above the horizontal.
**Diagram Explanation:**
- A diagram shows the forces acting on the block.
- The force vector is split into components: \( T_x \) (horizontal) and \( T_y \) (vertical).
- \( F_f \) represents the frictional force; \( F_n \) denotes the normal force.
- The weight \( mg \) acts downward.
**Equations and Calculations:**
1. **Horizontal Forces (\( \Sigma F_x = 0 \)):**
\[
T_x - F_f = 0 \\
T_x = \mu F_n
\]
Thus,
\[
T_x = \mu F_n
\]
2. **Vertical Forces (\( \Sigma F_y = 0 \)):**
\[
F_n + T_y - mg = 0 \\
F_n = mg - T_y
\]
3. **Substituting for \( \mu \):**
\[
\mu = \frac{T_x}{mg - T_y}
\]
4. **Components of Tension:**
\[
T_y = 60 \sin(30°) \\
T_x = 60 \cos(30°)
\]
This setup ensures that the block moves at constant speed, emphasizing the balance of forces in both horizontal and vertical directions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcfa255a-8685-4db1-8a78-1a614d4cdb70%2F91616f96-366b-4f2d-81da-8220ec556ac0%2Fvjmzvpw_processed.jpeg&w=3840&q=75)
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