Tutorial 10: Mechanical vibrations (Free vibrations)
1.
A 75 kg block is supported by the spring arrangement shown.
The block is moved vertically downward from its equilibrium
position and released. Knowing that the amplitude of the
resulting motion is 2
AM 1100
Tutorial1 Solutions
1. FA=2kN and FR=3kN
Resolve forces in horizontal direction
2 cos 30 +FBcos=3
Resolve forces in vertical direction
2Sin 30 = FB Sin
By simplifying above equations =430 and FB=1.46kN

2. FH and TB=?
Take bending moment about p
1. Determine the force in members (by Method of
Sections) BC, CG and GF of the Warren truss.
Indicate if members are in tension or compression.
636, 642, 616
2. Determine the force in members (by Method of
Sections) IC and CG of the truss and state if m
AM1100 Tutorial Solutions
For Problem A:
a)
Free Body diagram
F=Equivalent load located at centroid of the loading diagram to the end of the beam.
b)
F=Area of loading diagram=0.521=1N
Centroid=h/3= 1/3=0.33 from left
c) And
d)
RA=F,
RA=1N,
Take moment a
Tutorial 5
Mechanical friction and its applications
Fig. 1
1. A cylinder of weight W is supported by two
semicircular cylinders of weight W/2 each and
of same radius as the top cylinder. Find the
maximum distance between the centres of the
semicircular
1.Two stationary half cylinders F and I are shown, on which roll cylinders G and H. If
the motion is such that line BA has an angular speed of 2 rad/sec clockwise, what is the
angular speed and angular acceleration of cylinder H relative to ground? The cy
Department of Applied Mechanics
AM 1100 Engineering Mechanics
Tutorial 6 Plane kinematics of particles and rigid bodies
Date: 23092015
Compiled by: C. Lakshmana Rao
1
The robot arm in Figure1 is elevating and extending
simultaneously. At a given instan
DEPARTMENT OF APPLIED MECHANICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
AM1100 Engineering Mechanics
Tutorial VIII Kinetics of Rigid Bodies
1. The homogeneous rectangular plate has a mass of 20 kg and is supported in the vertical plane by
the light paralle
2*.
3*.
AM 110 Mechanics
Tutorial 10 VIBRATION
. A 30 kg cart is acted upon by a harmonic force as shown in Fig 1. If C i 0,
determine the range of the driving frequency (.0 for which the magnitude of the
steady state response is less than 75 mm.
During
AM1100  ENGINEERING MECHANICS
Tutorial2
Check the Statical determinate condition and draw the freebody diagrams of entire trusses and
members or joints of the trusses given below before solving the required forces in the
members.
1. Determine the force