straight-line path (upward) in the air, whereas a disk, ‘B’ is
rotating with the initial velocity in the tangential direction,
10.0 (𝑚/𝑠)(m/s) at the
initial point, (1) (S = 0) along a circular path having a radius of
curvature,
𝜌𝐵=400 (𝑚)ρ_B=400
(m) on the fixed platform (it does not rotate). The friction
coefficient is 𝜇=0.1μ=0.1 between the platform
and ‘B’. The cord breaks when the tension of it reaches up to 3
(N). The mass of each disk is 3 (Kg). The acceleration of ‘A’ is
𝑎𝐴=5 (𝑚/𝑠2)a ⃗_A=5
(m/s^2) in Y-direction. Gravity, g = 10
(𝑚/𝑠2m/s^2).
(1.1) Compute the tangential component of the critical velocity
of ‘B’,
𝑣𝑡,𝐵 (𝑚/𝑠)v ⃑_(t,B)
(m/s) using the equation of motion of ‘B’. (5 points)
(1.2) Compute the tangential component of the critical
acceleration of
‘B’, 𝑎𝑡,𝐵(𝑚/𝑠2)
a ⃑_(t,B) (m/s^2) using the equations of motion of ‘B’. (5
points).
(1.3) Compute the critical time, ‘t’ and angle (rad), ‘ϑϑ’. (5
points)
(1.4) Find the relationship between the ‘𝑛n ̂ -
𝑡′t ̂′ and the ‘𝑖i ̂ -
𝑗j ̂’ frames. (5 points)
(1.5) redefine 𝑎𝐵a ⃗_B in the
‘𝑖i ̂ - 𝑗j ̂’ frame. (5 points)
(1.6) Determine the acceleration of ‘B’ as measured by ‘A’ at t
= 10 in the ‘𝑖i ̂ - 𝑗j ̂’ frame:
𝑎𝐵/𝐴a ⃗_(B/A) (5
points)
- Question 1 A Disk A In The Figure Is Moving Along A Straight Line Path Upward In The Air Whereas A Disk B Is 1 (40.99 KiB) Viewed 16 times