Figure 1, shows a crate that slides from point A with a velocity of v,, reaches point B with a velocity of vg and strikes the ground at point D with a velocity of vo. The mass of crate is mand the coefficient of kinetic friction between the crate and the inclined plane is pe. The angle between the inclined plane with the horizontal is 0. The distance between C&D (range, R) and time taken for the crate to strike the ground at point D are affected by factors such as the initial velocity at point A, mass of the crate, coefficient of kinetic friction angle of the incline slope, distance between point A & B and distance between point B & C.

A

SAB

B

hBC

C

Figure 1

R

E

Prepared by Magdalene Andrew Munot

Department of Mechanical and Manufacturing Engineering Faculty of Engineering University Malaysia Sarawak KNJ1023 Dynamics Semester 2 2020/2021

You must: (i) draw the Free Body Diagram (FBD), (ii) state all assumptions relevant to your answers, (iii) separate your answers according to the tasks below.

Tasks 80 marks

1. Develop equations to show the relationship for the following:

146 marks

range, R where the crate strikes the ground a point D and factors above b) time taken for crate to strike the ground at point D and factors above

c) magnitude of the crate's velocity at point D

d) angle at which velocity at point D makes with respect to x-axis

2. Apply the equations developed in (1) to solve the followings.

a) range, R where the crate strikes the ground a point D

b) time taken for the crate to strike the ground at point D.

c) magnitude of the crate's velocity at point D

d) angle at which velocity at point D makes with respect to x-axis

For your calculations, you can only assume any value that is represented by your matric number. For example, if your matric number is 72901, then you can assume an initial velocity of 12m/s, angle of 29", hsc of 72m, uh =0.29, etc. However, if your matric number does not have a zero, you may add 0 for pik. You CANNOT use a number that is not in present your matric number.

3. Show through calculations one factor that could increase the range, R where the