代做MECH0006 Engineering Dynamics 2024/25代写C/C++编程

日期：2025-03-14 01:50

MECH0006

Engineering Dynamics

2024/25

Term 2

Question1

An oscillating garden sprinkler discharges water with an initial velocity vo(m/sec).

a) Knowing that the sides but not the top of arbor BCDE are open, calculate the distance d to the point F that will be watered for values of a from amin to amax.

b) Determine the maximum value of d and the corresponding value of a.

Given: vo 7 (m/sec), AB =1.3(m), BE =3.7 (m), DE =1.2(m),amin= 10°, amax =75°.

Question 2

A ball B is hanging from an inextensible cord attached to a support at C. A ball A strikes B with a velocity vo(m/sec) at an angle θo with the vertical. Assuming no friction and denoting by e the coefficient of restitution, determine the magnitudes va and va of the velocities of the balls immediately after impact and the percentage of energy lost in the collision for values of θ, from θmin to θmax, assuming:

a) e=1

b) e = 0.75

c) e= 0

Given mg = 520(g), m = 160(g), vo = 6(m/sec), min =20°, max= 120°.

Question 3

In an amusement park ride, "airplane" A is attached to a rigid member OB. To operate the ride, the airplane and OB are rotated so that θmin S θo S θmax and then are allowed to swing freely about O. The airplane is subjected to the acceleration of gravity and to a deceleration due to air resistance, -kv2, which acts in a direction opposite to that of its velocity v. Neglecting the mass and the aerodynamics drag of OB and the friction in the bearing at O, determine the velocity of the airplane attained for given values of θo. Use values of θo from θmin to θmax in e increments. For each value of θo, let: (a) k= 0, (b) k=2x10-4m-1, (c) k =4x 10-2 m-1. (HINT: Express the tangential acceleration of the airplane in terms of g,k and θ. Recall that ve = rθ).

Given: B = 15(m), min = 70°, θmax = 120°, ε°= 26°.

Question 4

A small block of mass m(kg) is at rest at the top of a cylindrical surface with a radius of r(m). The block is given an initial velocity vo(m/sec) to the right which causes it to slide on the cylindrical surface. Calculate and plot the values of θ at which the block leaves the surface for values of μk, the coefficient of kinetic friction between the block and the surface varying from μk1 to μκ2.

Given: m = 250(g), r = 2.8(m), vo = 3.7, μk1 = 0 ≤ μκ S Mix2 0.3.