Follower kinematics: The follower’s rise and fall characteristics are determined by the shape of the cam’s displacement diagram (motion law). Decide whether this statement is correct.

Introduction / Context:
A displacement diagram specifies follower position vs cam angle; differentiating yields velocity and acceleration. The cam profile is synthesized from this diagram. This item checks whether the follower’s motion depends on the chosen curves (e.g., SHM, cycloidal, polynomial).

Given Data / Assumptions:

• Ideal kinematics (no slip, rigid parts) for the base claim.
• Cam rotates at a defined speed; dynamic effects are secondary.
• Displacement diagram is the design input.

Concept / Approach:
Selecting a motion law sets the follower’s displacement, velocity, acceleration, and jerk vs angle. For example, cycloidal motion minimizes jerk compared to simple harmonic motion. Therefore, the cam’s displacement diagram fundamentally governs how the follower rises and falls; speed only scales time, not the geometric path.

Step-by-Step Solution:
1) Choose motion intervals: rise, dwell, fall, dwell.2) Pick a motion law for each interval (e.g., cycloidal).3) Generate the cam profile from the diagram.4) The follower reproduces that motion each cycle.

Verification / Alternative check:
Comparing SHM vs cycloidal diagrams displays different velocity/acceleration peaks; test rigs confirm predicted dynamics.

Why Other Options Are Wrong:
Speed alone does not define the displacement path; it scales time.Follower mass affects dynamics (deflection, vibration) but not the nominal geometric displacement law.

Common Pitfalls:
Selecting harsh motion laws causing high jerk; ignoring follower type (roller, flat) during synthesis.

Final Answer:
Correct