Department of Mechanical & Industrial Engineering
Indian Institute of Technology Roorkee
MIE- 101 ENGINEERING MECHANICS
TUTORIAL 11
[1] The disk is originally rotating at 𝜔0 = 12 rad/s. If it is subjected to a constant angular
acceleration of 𝛼 = 20 rad/𝑠 2 , determine the magnitudes of the velocity and the n and t
components of acceleration of point B when the disk undergoes 2 revolutions.
Figure 1.
[2] If crank OA rotates with an angular velocity of ω = 12 rad/s, determine the velocity of
piston B and the angular velocity of rod AB at the instant shown
Figure 2.
[3] The link AB has an angular velocity of 3 rad/s. Determine the velocity of block C and the
angular velocity of link BC at the instant ө 1 = 300 , ө 1 = 450 𝑎𝑛𝑑 ө 1 = 600 .
Figure 3.
[4] Determine the maximum acceleration of the truck without causing the assembly to move
relative to the truck. Also what is the corresponding normal reaction on legs A and B? The 100
kg table has a mass Center at G and the coefficient of static friction between the legs of the
table and the bed of the truck is µ𝑠 = 0.2.
Figure 4.
[5] The jet aircraft has a total mass of 22 Mg and a centre of mass at G. Initially at take-off the
engines provide a thrust 2T = 4 kN and 𝑇 ′ = 1.5 kN. Determine the acceleration of the plane
and the normal reactions on the nose wheel at A and each of the two wing wheels located at B.
Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings.
Figure 5.
[6] Determine the angular acceleration of the 25-kg diving board and the horizontal and vertical
components of reaction at the pin A the instant the man jumps off. Assume that the board is
uniform and rigid, and that at the instant he jumps off the spring is compressed a maximum
amount of 200 mm, ω = 0, and the board is horizontal. Take k = 7 kN/m.
Figure 6.