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Indian Institute of Technology Madras (IIT-M) 2007 B.Tech AM 110 Engineering Mechanics QUIZ 2 - Question Paper

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AM 110 Engineering Mechanics
QUIZ 2
Date of Exam: 19th October 2007 Time:8:00-8:50am
1.This ques. paper consists of 2 parts.
2.Section A consists of 5 Multiple option Questions, which should be answered on the identical sheet and submitted along with your ans script. You should specify the corresponding option ONLY in the parentheses provided against every ques..
3.There are 2 ques. in part B, which should be answered in the ans script.
4.Make suitable assumptions if needed and state them clearly.

AM 110 Engineering Mechanics QUIZ 2

Date of Exam: 19th October 2007

Time:8:00-8:50am

1.    This Question paper consists of two sections.

2.    Section A consists of FIVE Multiple Choice Questions, which should be answered on the

same sheet and submitted along with your answer script. You should specify the corresponding choice ONLY in the parentheses given against each question.

3.    There are TWO questions in Section B, which should be answered in the answer script.

4.    Make suitable assumptions if required and state them clearly.

SECTION A

FIVE Multiple Choice Questions attached in a separate sheet along with the answer script given.

5x1 = 5 marks

SECTION B

Q(1) A board of length 3m, weighing 200N, is placed across the channel and a boy weighing 400N, attempts to walk across (as shown in Figure 1). If the coefficient of static friction at A and B is /us = 0.3. Determine the distance d, the boy can travel from A before the board slips.

(5 marks)

 A Figure 1

 B

0.5 m

 Figure 2

Q(2) At the instant shown in Figure 2, rod AB has an angular velocity raAB=3 rad/s and an angular acceleration aAB = 5 rad/s2. Determine the angular velocity and angular acceleration of the rod CD at this

instant. The collar at C is pin connected to CD and slides over AB. Length of CD is 0.5m.

THE END

NAME :

Roll No:

AM 110 Engineering Mechanics

QUIZ 2 - SECTION A

MCQ: Multiple Choice Questions

Q(1). In the context of Rigid body mechanics, which of the following statement is False. ( )

ANS:

(A)    If a particle, moves along a curved path with constant speed, the tangential acceleration is zero.

(B)    Instantaneous centre of rotation can be used to determine both velocity and acceleration of a rigid body.

(C)    When we perform relative motion analysis using rotating axes, we need to include Coriolis acceleration term.

(D)    For a bicycle wheel, which rotates without slipping, the instantaneous centre of rotation is located at the point of contact with the road.

Q (2). The rim of a wheel has the top point at B and is in contact with the floor at C Due to slipping the points at C and B have velocities as VC = 2 m/sec VB = 8 m/sec as shown in Figure.3. Radius of the wheel is 0.5m. What is the velocity of the point D (which is on the rim of the wheel) at this instant ?

Vb

 Figure 3

Figure 4

ANS: (A) 3 m/sec (B) 5 m/sec (C) 10 m/sec(D) 5.83 m/sec

( )

Q (3). The collar bearing uniformly supports an axial force P = 2kN and M = 4 N.m is applied to the shaft as shown in Figure 4. Determine the coefficient of kinetic friction (pk at the point of contact.

( )

(B) 0.126

(C ) 0.063

(D) 0.0315

ANS: (A) 0.3

AM 110 Engineering Mechanics

QUIZ 2 - SECTION A

Q (4). Given the Lagrangian function for a particular problem as    ( )

L = Mx2 + m( x2 + 2 xx + x2)

One of the following represents the correct equation of motion for the Dynamical system.

ANS: (A) x

m

(m + M)

m

(B) x

(m + M)

m

(C ) x =

(m + M)

m

(D) x = -

(m + M)

Q (5). An ant falls into a spherical bowl as shown in Figure 5. If the ant tries to crawl out of the bowl, what will be its status. Given the coefficient of static friction between the insect and the bowl is, |a,s= 0.4.

 Figure 5

ANS: (A) Insufficient data. Weight of the ant is not given.    ( )

(B)    Ant can always crawl out of a bowl.

(C)    It can not crawl out of the bowl.

(D)    Coefficient of static friction is completely irrelevant for ants.

THE END

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