Kinematics of Mechanisms

Use this for “A robot arm has 7 links (with its base) and 6 revolute joints. What is its mobility?”

Use this for “A crank-rocker has crank a = 40, coupler b = 120, rocker c = 90 and ground d = 100 mm. Find the transmission angle at θ₂ = 60°, or its least value (θ₂ = 0°).”

Use this for “A crank-rocker’s crank turns 204° on the working stroke and 156° on the return (β = 24°) at 60 rpm. Find the time ratio and each stroke’s time.”

Use this for “The same slider-crank (r = 50 mm, L = 200 mm, ω = 100 rad/s) at 40°. Find the piston’s acceleration.”

Use this for “A cam lifts its follower 20 mm with cycloidal motion over 120° of turn at 300 rpm. Find s, v and a at 45°.”

Use this for “A roller follower rises 20 mm in simple harmonic motion over 120° of cam turn on a prime circle of radius 50 mm. Find the pressure angle at 60°.”

Use this for “A planetary set has a 24-tooth sun and a 72-tooth ring. The ring is held and the sun turns at 1200 rpm. How fast does the arm turn?”

Use this for “A gearbox takes 50 N·m at 1800 rpm and turns its output at 200 rpm with 95% efficiency. Find the output torque and the power.”