1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitrij [34]
3 years ago
7

Damping is negligible for a 0.135-kg object hanging from a light, 6.30-N/m spring. A sinusoidal force with an amplitude of 1.70

N drives the system. At what frequency will the force make the object vibrate with an amplitude of 0.480 m?
Physics
1 answer:
IceJOKER [234]3 years ago
8 0

Answer:

0.72 Hz minimum frequency

Explanation:

When the damping is negligible,Amplitude is given as

A = (F/m)/[\sqrt{(\omega ^{^{2}}-\omega _{o}^{2}})^2

here \omega _{o}^{2}= k/m = (6.30)/(0.135) = 46.67 N/m kg

F / mA = 1.70/(0.135)(0.480) = 26.2 N/m kg

From the above equation , rearranging for ω,

\omega ^{2}= \omega _{o}^{2}\pm F/m

⇒ ω² =46.67 ± 26.2 = 72.87 or 20.47

⇒ ω = 8.53 or 4.52 rad/s

Frequency = f

ω=2 π f

⇒ f = ω / 2π =  8.53 /6.28  or 4.52 / 6.28 = 1.36 Hz or 0.72 Hz

The lower frequency is 0.72 Hz and higher is 1.36 Hz

You might be interested in
What is the acceleration of a car that travels in a straight line?
Sphinxa [80]
Acceleration occurs when there is a change in speed or direction. If it travels in a straight line, there is no speed or change in direction as it is constant througout, hence 0 acceleration.

hope this helps!! ✨
6 0
3 years ago
Read 2 more answers
Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal
kirza4 [7]

At t =0, the velocity of A is greater than the velocity of B.

We are told in the question that the spacecrafts fly parallel to each other and that for the both  spacecrafts, the velocities are described as follows;

A: vA (t) = ť^2 – 5t + 20

B: vB (t) = t^2+ 3t + 10

Given that t = 0 in both cases;

vA (0) = 0^2 – 5(0) + 20

vA = 20 m/s

For vB

vB (0) = 0^2+ 3(0) + 10

vB = 10 m/s

We can see that at t =0, the velocity of A is greater than the velocity of B.

Learn more: brainly.com/question/24857760

Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. Spacecrafts A and B are flying parallel to each other through space and are next to each other at time t= 0. For the interval 0 <t< 6 s, spacecraft A's velocity v A and spacecraft B's velocity vB as functions of t are given by the equations va (t) = ť^2 – 5t + 20 and VB (t) = t^2+ 3t + 10, respectively, where both velocities are in units of meters per second. At t = 6 s, the spacecrafts both turn off their engines and travel at a constant speed. (a) At t = 0, is the speed of spacecraft A greater than, less than, or equal to the speed of spacecraft B?

3 0
3 years ago
What is the least amount of time required for a given point on this wave to move from y = 0 to y = 12cm?
ale4655 [162]

Time t = ?

<span>When wave is moving from y = 0  to y =12 cm</span>

By using the formula,

y = 15cos [(π/12) t)] = 0,

cos [(π/12) t)] = 0 = cos (π/2), so, 

(π/12)t = π/2,

t = (π/2) (12/π) 

t = 12/2

<span>t = 6 sec</span>

<span>so 6 sec is the least amount of time required</span>

4 0
3 years ago
A net torque of magnitude 600 Nm is ex-
vlabodo [156]
A net torque of magnitude is 600

5 0
2 years ago
Calculate the net force being applied to the objects. Include SIZE and DIRECTION.
guajiro [1.7K]
Juice WRLD 999 ,........................
3 0
3 years ago
Other questions:
  • A block spring system oscillates on a frictionless surface with an amplitude of 10\text{ cm}10 cm and has an energy of 2.5 \text
    5·1 answer
  • Does sound travel outside earth's atmosphere in space explain
    5·1 answer
  • An object is projected with initial speed v0 from the edge of the roof of a building that has height H. The initial velocity of
    7·1 answer
  • A energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.0 MJ when the flywheel is rotating at 20,
    5·1 answer
  • You walk 4.5 km in one direction then make a 45 degree turn to the right and walk another 6.4 km what is the magnitude of your d
    14·1 answer
  • Any two differences between SI units and derived units<br>help me...​
    14·1 answer
  • how the relationship between photosynthesis and cellular respiration prove that the Laws of Conservation of Mass and Energy exis
    15·1 answer
  • Which of the following materials would want an electric cord insulated with so you do not get shocked?
    6·2 answers
  • 8th grade science help help
    9·1 answer
  • Explain in detail why you cannot hear in space but you can see light(explanation includes particle movement of liquid, solids, g
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!