Define Radius of gyration, SI unit, Dimension

Define:- The radius of gyration defined as, the whole mass of the body                is supposed to be concentrated, so as to possess the same                       moment of inertia as that of body about the same axis is                       called as radius of gyration.

SI Unit:- m (metre)

CGS Unit:- cm (centimetre)

Dimension:- [M° L1 T°]

Control system MCQ (P-19 Pattern)

1) .............Systems converts linear displacement into digitally coded signal.

    Servo motor

    Synchros

    Rotary Encoder

    All of the above

   Ans:- Rotary Encoder

2) On-Off controller is called as.........

    One positional control

    Two positional control

    Four positional control

    Half positional control

   Ans:- Two positional control

3) The On-Off controller is a.............system.

    Digital

    Discontinuous

    Non-linear

    linear

  Ans:- Discontinuous

4) Servo systems components are........

    Servo motor

    Stepper motor

    Synchros

    All of the above

   Ans:- All of the above

5) .............is an essential feature of servo-mechanism.

A power amplifying stage

A closed loop system

Ability to control position, velocity or acceleration of the system

All of the above

Ans:- All of the above

6) A synchro transmitter receiver unit is a...........

Two phase AC device

Three phase AC device

DC device

Single phase AC device

Ans:- Single phase AC device

State whether true or false

 1) Two lines perpendicular to the same line are              perpendicular to the each other.

    Ans:- False

2) If sum of two adjacent angle is 45°, then two            adjacent angles are acute angles.

    Ans:- True

3) Sum of all the exterior angles of any polygon        is always 360°.

    Ans:- True

4) Object which are exact copies of one another are     called plane objects.

    Ans:- False

5) To examine the congruence of plane figures, the     suspension method is used.

    Ans:- True

Factorise this sum (X3 - 2X2 - X + 2) ÷ (X - 2)

 Solution:-

The motion of a car is represented by the graph given here .It is a velocity-time graph

(1) Identify the type of motion from the following

(A) car is not in motion
(B) car is moving with uniform velocity
(C) car is moving with uniform acceleration
(D) None of the above

Ans:- (B) car is moving with uniform velocity

(2) What does the slope of the graph represent?(A) acceleration
(B) velocity
(C) force
(D) momentum

Ans:- (B) velocity

(3) What kind of graph do we obtain if we plot position - time graph of the car(A) Straight line parallel to X axis
(B) Straight line parallel to Y axis
(C) parabola
(D) Zig Zag curve

Ans:- Zig Zag curve

(4) What quantity do we obtain if we calculate area under the given graph?(A)displacement(B) velocity(C) acceleration(D) None of the above

Ans:- velocity

(5) From the graph, the acceleration of the car will be(A) 4m/s(B) 4m(C) 4m/s2(D) zero

Ans:- (C) 4m/s2

​Find the value of p for which the points are colinear if (7,-2),(5,1),(3,p)

 Solution:-

Find the value of p for which the points are colinear if (7,-2),(5,1),(3,p)

The degree of x2 – 5x + 2 = x3 is:​

 x2 – 5x + 2 = x3

x2 - 5x + 2 - x3 = 0

-x3 + x2 - 5x + 2 = 0

If we change the sign of these equation then,

x3 - x2 + 5x - 2 = 0

Ans:- 3  

Note: The degree is the value of greatest exponent of any expression.

A body is falling freely, the total energy of the body as it falls

 (A) Increases

(B) First decrease then increase

(C) Remains same 

(D) First increases then decreases

Ans:- (C) Remains same

The money receivable from a customer, to whom business sold goods on credit is called

 a) Creditor

 b) Debtor

 c) Wholesaler

 d) Retailer​

 Ans:- b) Debtor