engineering mechanics part - a

8/10/2019 Engineering MEchanics Part - A

1/7

E217

1.

State newtons law of gravitation

2. The resultant of two forces P and 100N is 150 N inclined at 30 to 100 N force. Find

the magnitude and direction fof P

3.

State varignons theorem4. A force of magnitude 100 N is passed from [1,3,4] m to B [5,3,8] m. Calculate its

moment about an axis passing from origin to C [3,3,3]m

5. What is the radius of gyration for a mass with respect to an axis

6.

From a circular plate of diameter 60mm a circle is cut whose diameter is radius of the

plate Find the centroid of the reminder

7. Define coefficient of restitution

8.

State D-alemberts principle

9. A mass of 200kg is lifted by passing a rope around a horizontal post and exerting a

pull of 220N. If =0.25, how many turns of the rope around the post are necessary?

10.

State the coulombs law of dry friction.

L1108

11.State the equations of equilibrium of a coplanar system of forces

12.A force of magnitude 700N is directed along PQ where P is 90.8,0,1.2)m and Q is

(1.4,1.2,0)m. Write the vector form of the force.

13.

State Varignons theorem

14.Three couples +12Nm,-35Nm,+100Nm are acting in the xy,yz and xz, write the

vector form.

15.

A semicircular lamina having radius 100mm is located in the xy plane such that itsdiametral edge coincides with y axis.Determine the x coordinate of its centroid.

16.Define principal axes and principal moment of inertia

17.A particle starting from rest moves ina straight line and its acceleration is given by

a=40-46t2m/s2where t is in sec. Determine the velocity of the particle when it has

travelled 52m

18.A steel ball is thrown vertically upwards from the top of a building 25m above the

ground with an initial velicy of 18m/s. Find the maximum height reached by the ball

from the ground.

19.State the laws of dry friction

20.

What is general plane motion

C110

21.State the lamis theorem

22.A force f=8.25i+12.75j-18k acts through the origin.what is the magnitude of the force

and the angles it makes with X axis

23.

Find the moment of the force 15n acting alon the positive direction of x axis about the

point A (2,3)

24.Name at least any four types of support in two dimension truss

25.

Express product of inertia of a rectangle about its sides26.What are the theorems of moments of inertial


2/7

27.Define time of flight

28.

The motion of a particle is defined by the relation x=t3 -16t222 x is in meters an t is in

seconds. Determine the acceleration of the particle at t=3 seconds

29.State the laws of couloumb friction

30.Write the characteristic equation for impulse momentum principle

Q2256

31.Find the unit vector of the force F= 4i- 5j + 8k

32.

The resultant of two equal forces including 60obetween them has a magnitude of

9root of 3 N what is the magnitude of the component forces?

33.What is meant by equilibrium of a body?

34.

State polygon law of equilibrium

35.Determine the centre of gravity of a quarter circular area of radius r by using pappus

guildinus theorem

36.

Find the mass moment fo inertia of a steel pipe of length 5m having external diameter

80cm and internal diameter 60mm about its axis. Take the mass density of stell as

7900N/m3

37.What do you mean by relative velocity?

38.A cricket ball of mass 200gm hit by a batsman travels with a velocity of 25m/s and is

caught by a fielder in .2 second. Find the impulsive force extend on the ball and the

impulse

39.Define coefficient of static friction

40.Prove that the angle of repose is equal to the angle of static friction

S4043

41.Using lamis theorem calculate the forces in the member CA and CB for the system

shown in fig 1

42.A force F has the components Fx= 20 N, Fy= -30 N, Fz = 60N. Find the angle yit

forms with the coordinate axes y

43.

Explain with the help of sketches the wrench resultant.

44.State varignons theorem, using this calculate the moment about O for the system

shown in the fig 4


3/7

45.Calculate y for the shaded area shown in fig 5

46.Calculate moment of inertial Ixxfor plane area shown in fig 6. All dimensions are in

mm

47.

A golf ball is dropped from a height of 10 m on to a fixed steel plate. The coefficient

of restitution is 0.85. Find the height to which the ball rebouds at the first bounce

48.State principal of conservation of energy

49.

Define rolling resistance with a sketch50.Define instantaneous centre of rotation. Locate the instantaneous centre of rotation of

the system shown in fig 10

S4821

51.

State the conditions that are to be satisfied for lamis theorem to be applied

52.In a polygon corresponding to a system of forces, if the closing side has a magnitude

of zero what can you say about the system?

53.Locate the point where the system of forces given in fig3 is converted into a single

force and zero couple. Also find the magnitude of the single force


4/7

54.

State the assumptions made in the analysis of truss55.

Say true or false and justify your answer. Friction is always developed in the direction

opposite to the direction in which the experanl force is applied.

56.The coefficient of friction between a body and the inclined surface on which it is

resting is 1/ root of 3. For the body to be in equilibrium, find the maximum angle

made by the surface with respect to horizontal

57.State perpendicular axis theorem

58.Find the moment of inertia of a circular section of diameter D about an axis tangential

to the circle

59.When a body of weight W climbs up a plane inclined at angle of with respect ot

horizontal find the component of weight opposite the motion60.A ball is dropped on a smooth floor from a height of 1m. If the first rebound height is

81cm, find the coefficient of restitution

C123

61.State principle of transmissibility

62.

Define free body diagram

63.What is meant by radius of gyration

64.

How would you find out the centroid of a composite area

65.Define coefficient of friction and limiting friction

66.List any four engineering applications of friction

67.Define uniformly accelerated motion

68.Distinguish between curvilinear motion and projectile motion

69.

State work energy principle

70.Define the term coefficient of restitution

11516

71.Find the angle between the forces A and B given as

A= 3i-2j+4k

B=5i+3j-4k

72.How will you find the direction cosine in the Z direction of the resultant force of a

concurrent spatial force system

73.Distinguish between a couple and a moment

74.State varignons theorem

75.

Distinguish between centroid and centre of gravity

76.Define principal axes and principal moment of inertia

77.

A car moves on a circular path of radius 25m with a uniform speed of 9m/s.Determine the total acceleration on the car


5/7

78.What is Dalemberts principle

79.

When do we say that the motion of a body is impending

80.A wheel of radius 50cm is moving on rails with a speed of 12m/s. Find the angular

speed of the wheel.

C1369

81.Two forces F1=50kN and F2=25kN acts on a particle and the angle of inclination

between them is 450 , find the resultant force using parallelogram law

82.

State the principle of transmissibility

83.State the condition for equilibrium of rigid bodies in space

84.For the rigid bar shown in fig 1 to remain horizontal find the force to be applied at A

85.Find the moment of inertia of a circular section of diameter D about an axis tangential

to the circle

86.

Find the mass moment of inertia of rectangular steel plates of width 50mm depth

100mm and thickness 1mm about its centroidal axis parallel to width Take the densityof steel as 7.8g/cc

87.What do you understand by rolling resistance

88.

With given initial velocity of projection find the angle of projection for which the

range is maximum

89.Define the term coefficient of restitution

90.What is meant by General Plane Motion

Q2720

91.State the necessary and sufficient conditions for equilibrium of a particle in space

92.Explain briefly the principle of transmissibility

93.Represent the rectangular components of moment of a force in determinant form

94.What is the significance of free body diagram

95.Define the terms a) lead angle b) pitch of screw

96.

Give the cause of rolling resistance

97.Express the integrals for finding moment of inertia of an area

98.Find the moment of inertia of right triangle of width 60mm and height 90mm about its

base

99.

State the principle of work and energy


6/7

100. Define the terms position vector and velocity as applied to curvilinear motion

of particles

ETGE181

101.

Define equilibrant

102. State varignons theorem

103. A force of 500N forms angles 600 , 450 , 1200 respectively with x,y and z axes.

Write the force in vector form

104.

Write the equations which express the conditions for the equilibrium of a rigid

body

105. Under what condition the centre of mass and centre of gravity coincide

106.

State perpendicular axis theorem

107. State the laws of conservation of momentum

108. Define rectilinear and curvilinear motion

109.

Define angle of repose

110. A ball is dropped from a height of 1.6m on a floor rebound to a height of

0.9m. Find the coefficient of restitution.

V4594

111.

State parallelogram of forces

112. State the dimensions of angular velocity and power in MLT system

113. What is the principle of transmissibility

114.

State the conditions for equilibrium of rigid body in three dimensions

115.

What is moment of inertia of triangular lamina (bxh) about its horizontal

centroidal axes?

116. State the parallel axis theorem

117. State any two important laws of friction

118. A particle moves along x axis and its position is expresses as x= 3.5t 3 -7t2

where x is in m and t is in seconds. Determine the displacement during three seconds.

119. Define coefficient of restitution

120. For a pulley of diameter 2m, an = 4m/s2 and t =9.17rad/s

2 .Find the total

acceleration.

C3374

121.

State parallelogram law of forces. How can it be extended for more than two

forces?

122. A force F= (100i+50j+20k) N acts at a point P whose coordinates are (2, 4, 5)

m. Find the moment of force about X,Y and Z axes.

123.

Show how a given force could be resolved into a force and a couple

124. State the conditions for a rigid body to be in equilibrium under non coplanar

forces

125.

Define polar moment of inertia. What is its value for a square lamina of100mm side?


7/7

126. Write the expressions for the mass moment of inertia of a cylinder and a

rectangular prism about the longest axis.

127. A wheel 300mm diameter supports a load of 10kN. Determine the coefficient

of rolling resistance if a horizontal force of 250 N is needed to roll on the horizontal

surface

128.

Define projectile and range of projectile

129. What are the types of rigid body motion?

130. A flywheel 500mm in diameter is brought uniformly from rest up to a speed of

280 rpm in 15 seconds. What is the velocity of a point on the rim one second after

starting from rest?

H252

131. Define unit vector

132. What is single equivalent force

133.

Express the centroidal coordinates of a quadrant of a circle

134. State the conditions at which the product of inertia of a plane figure with

respect to its centroidal axis is zero

135. What is meant by angle of response

136. State couloumbs law of dry friction

137.

What is meant by projectile

138. A body is rotating with an angular velocity of 5rad/sec. after 4 seconds, the

angular velocity of the body becomes 13 rad/sec. Determine the angular acceleration

of the body

139.

State DAlemberts principle applicable to plane motion

140.

Define variable angular acceleration of a rigid body.

H313

141. State the principle of transmissibility of forces

142. Determine the angle between two equal forces F, when their resultant is R=F/2

143. State varignons theorem

144.

A force of magnitude 100N is passed from A [1,3,4]m to B[5,3,8]m. calculate

its moment about an axis passing from origin to C93,3,3)

145. Differentiate centroid and centre of gravity.

146.

State parallel axis theorem

147. State DAlemberts principle

148. The motion of a particle is defined by the relation s=t3 -9t2 +24t-2 where s is

the distance in cm and t is in sec. Determine the position, velocity and acceleration

when t= 5 sec?

149.

Define angle of repose

150. Give two examples of General Plane Motion.

engineering mechanics part - a

Documents