Examination code :
Subject:
Code WBVP17DN
Dynamics
Date:
Starting time:
School:
Datum
Tijd
School
Room:
Group:
Duration:
Lokaal
Klas
2 hours
During the Exam the following Lecturers can be
contacted;
Name: Docent
Telephone number:
Number of pages:
Aids and appliances:
Remaining namely:
Calculator :
Examination paper
-Casio FX 82 MS
-TI-30XB multiview
-TI-30XS multiview
6
and / or
and / or
notepaper
Hand in Exampaper: Yes
Hand in scribble-paper: No
Particulars:
A total amount of 100 points can be achieved. The final grade for this exam is the
total number of points divided by 10.
55 points are needed to pass the exam. The lowest grade is a 1
Student Name :
Student number:
Exercise 1, (25 points):
See figure 1. Block B has a mass of 5 kg.
Block B accelerates against the hill at
0.375 m/s2. This acceleration is caused by
the mass of block A. The coefficient of
friction between block B and the sloop
equals 𝜇𝑘 = 0.2 The masses of the pulleys
may be neglected.
a) Determine the cable-force that lifts
block B. Make use of both a FBD and a
KD. (15 points)
b) Determine the acceleration of block A.
(10 points)
Figure 1
Exercise 2, (25 points):
A spring is on one side
connected to a sleeve (C) and
on the other side fixed (D). The
spring has an unloaded length of
200 mm and a spring constant
of k=600N/m. The sleeve, with a
mass of 2 kg, is released from
standstill position at point A and
glides along the tube.
Determine the speed of the
sleeve at the moment it arrives
at point B.
Requirement: use the law of
conservation of mechanical
energy.
Figure 2
Exercise 3, (25 points):
Figure 3
See figure 3. Crank AB has a constant angular velocity of 8 rad/s.
a) Draw the kinematic schemes of AB, BC and the gear in their current
position. Include all relevant (angular) velocities and the instantaneous
centres (IC). (10 points)
b) Calculate the angular velocity of BC and the velocity of point C for the
current situation. Requirement: make use of the IC. (10 points)
c) check the value of point C’s velocity using the following equation:
𝑉𝑐 = 𝑉𝐵+ 𝑉𝐶/𝐵 (5 Points)
Exercise 4, (25 points):
Figure 4
See figure 4. The trolley (300 kg) is pulled up a slope using an electromotor.
The motor delivers a couple of M = (40+900) Nm at point O. The wheel has
a mass of 100 kg and a Gyroradius kO = 0.2 m. Initially, the trolley is at rest at
s=0 m and  = 0 rad.
Determine the velocity of the trailer after it has moved 4 meters. Neglect
friction as well as the mass of the cable and the trailer wheels.
Requirement: make use of work and energy.