Measurement of Force MCQ Quiz - Objective Question with Answer for Measurement of Force - Download Free PDF

Last updated on Mar 30, 2025

Latest Measurement of Force MCQ Objective Questions

Measurement of Force Question 1:

A mass-spring damper system with force as input and displacement of the mass as output has a transfer function

G(s)=1(s2+24s+900)

A force input F(t) = 10 sin (70 t) newtons is applied at time t = 0 s. A beam from an optical stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is

  1. 5π
  2. 15π
  3. 35π
  4. 50π

Answer (Detailed Solution Below)

Option 3 : 35π

Measurement of Force Question 1 Detailed Solution

G(s)=1s2+24s+900

Input, F(t) = 10 sin (70 t)

At steady state, magnitude and phase angle changes but frequency remains constant.

ω = 70

⇒ 2πf = 70

f=702π=35π

Top Measurement of Force MCQ Objective Questions

A mass-spring damper system with force as input and displacement of the mass as output has a transfer function

G(s)=1(s2+24s+900)

A force input F(t) = 10 sin (70 t) newtons is applied at time t = 0 s. A beam from an optical stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is

  1. 5π
  2. 15π
  3. 35π
  4. 50π

Answer (Detailed Solution Below)

Option 3 : 35π

Measurement of Force Question 2 Detailed Solution

Download Solution PDF
G(s)=1s2+24s+900

Input, F(t) = 10 sin (70 t)

At steady state, magnitude and phase angle changes but frequency remains constant.

ω = 70

⇒ 2πf = 70

f=702π=35π

Measurement of Force Question 3:

A steel cantilever is 0.25 m long, 20 mm wide and 4 mm thick. Calculate the value of deflection (in mm) at the free end for the cantilever when a force of 25 N is applied at this end. The modulus of elasticity for steel is 200 GN/m2.

Answer (Detailed Solution Below) 5.9 - 6.3

Measurement of Force Question 3 Detailed Solution

Moment of area of cantilever

I=112bt3

=112×(0.02)×(0.004)3=1.067×1010

Deflection=x=Fl33EI

=25×(0.25)33×200×109×1.067×1010=6.1mm

Measurement of Force Question 4:

A cantilever is used as a primary sensing element for the measurement of force. The measured deflection is 1 mm. Suppose each of the dimensions, length, width and thickness of the cantilever and doubled for the same material and force, then the deflection will be

  1. 0.125 mm
  2. 0.25 mm
  3. 0.5 mm
  4. 2 mm

Answer (Detailed Solution Below)

Option 3 : 0.5 mm

Measurement of Force Question 4 Detailed Solution

Measured deflection (x) = 1 mm

We know that,

x=FL33EI=FL33E(112bt3) 

Given that, each of the dimensions, length, width and thickness of the cantilever are doubled.

xnew=F(2l)33E(112×(2b)×(2t)3) 

=F×8l33E(112×16bt3)=12x=0.5mm 

Measurement of Force Question 5:

A mass-spring damper system with force as input and displacement of the mass as output has a transfer function

G(s)=1(s2+24s+900)

A force input F(t) = 10 sin (70 t) newtons is applied at time t = 0 s. A beam from an optical stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is

  1. 5π
  2. 15π
  3. 35π
  4. 50π

Answer (Detailed Solution Below)

Option 3 : 35π

Measurement of Force Question 5 Detailed Solution

G(s)=1s2+24s+900

Input, F(t) = 10 sin (70 t)

At steady state, magnitude and phase angle changes but frequency remains constant.

ω = 70

⇒ 2πf = 70

f=702π=35π

Get Free Access Now
Hot Links: teen patti jodi teen patti master official mpl teen patti teen patti baaz teen patti boss