A revolving slotted arm OA moves a bearing P in a fixed curve shape: r(θ) = Cθ. r = radial distance to O θ = angle the arm OA makes in the x-direction C = known constant Arm OA begins from rest when θ = π/4 and rotates counterclockwise with constant angular acceleration d2θ/dt2 = α. Part 1: Calculate v(t) (the velocity vector) of the P bearing as a function of t. Show result with respect to C, α, and the unit vectors ur (r-direction) and uθ (θ-direction). Part 2: Calculate a(t) (acceleration vector) of the P bearing as a function of t. Show result with respect to C, α, and the unit vectors ur (r-direction) and uθ (θ-direction). Part 3: Calculate magnitude v of the velocity and the magnitude a of the acceleration of P when the angle of the slotted arm is θ = 3π/4.
A revolving slotted arm OA moves a bearing P in a fixed curve shape: r(θ) = Cθ.
r = radial distance to O
θ = angle the arm OA makes in the x-direction
C = known constant
Arm OA begins from rest when θ = π/4 and rotates counterclockwise with constant angular acceleration d2θ/dt2 = α.
Part 1: Calculate v(t) (the velocity vector) of the P bearing as a function of t. Show result with respect to C, α, and the unit
Part 2: Calculate a(t) (acceleration vector) of the P bearing as a function of t. Show result with respect to C, α, and the unit vectors ur (r-direction) and uθ (θ-direction).
Part 3: Calculate magnitude v of the velocity and the magnitude a of the acceleration of P when the angle of the slotted arm is θ = 3π/4.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
