Mechanics of Particles (MEET2102)
Mechanical Engineering - MEN
Semester: First Semester
Level: 200
Year: 2018
School/Faculty: HTTTC Option: ALL DEPARTMENT: Mechanical Engineering LECTURER(S): Dr. Bawe Gerard Nfor
Level: Semester: FIRST Credit Value: 3 Academic Year: 2017/2018
COURSE CODE: ME-E 112 COURSE TITLE: Mechanics of particles
DATE: 07/03/2018 HALL: TIME: 11am – 1pm
THE UNIVERSITY OF BAMENDA
P.O BOX 39 Bambili
REPUBLIC OF CAMEROON
Peace-Work-Fatherland
1.
A particle moves with a position vector, in the given frame as: ( t) = (2t + 3t
2
+
t
)m . Find: (a) velocity and acceleration as functions of time, (b) the velocity at time,
t = 2s. (3mks)
2.
A point moves uniformly on a plane curve trajectory with velocity u. The
magnitude of acceleration on a certain point of the trajectory is |a|. What is the
radius of curvature at that point? (2mks)
3.
The position vector of a point is (t) = (cos () + ȷs in () , (a) Find the
velocity and acceleration vectors and their magnitudes, (b) Express the scalar
product of r and v
. Interpret your results. (5mks)
4. A body of mass m = i kg moves in a circular uniform motion on a circle of radius R
= 0.1 m. What is the value of the centripetal force? (2mks)
5.
A particle of mass m = 2 kg oscillates on the x-axis. The equation of its motion is:
x = 0.2sin (5t −/6), with x in meters and t in seconds, (a) What is the magnitude of
the force acting on the particle at time t = 0? What is the maximum value of the
force? (3inks)
6.
Write the differential equation for a damped oscillatory system. What are the
conditions for the following conditions: (a) lightly or weakly or under-damped, (b)
heavily damped, and (c) critically damped, (d) Draw sketch diagrams for each type
of oscillation, (e) What system is critical damping put into use? (f) In which system
is the underdamped situation a nuisance? (l0mks)
7.
With the aid of a diagram (of many particles), determine the total momentum P
of
a system of N particles in the center of mass, CM, frame? (10mks)
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