4. Two oscillations, at right angle to each other, are described by the equationsx=2 cos(7/2)t (m) and y=cos((7/2)t +7) (m). Construct the curve for the combinedmotion and show the direction of motion.

Name: 4. Two oscillations, at right angle to each other, are described by t
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 4. Two oscillations, at right angle to each other, are described by the equationsx=2 cos(7/2)t (m) and y=cos((7/2)t +7) (m). Construct the curve for the combinedmotion and show the direction of motion.

Two oscillations, at right angle to each other, x = 2cosπ2t (m)and y= cosπ2t+π (m) Find:-…

Answered: Two oscillations, at right angle to…

Science

Physics

Two oscillations, at right angle to each ot =2 cos(7/2)t (m) and y=cos((r/2)t+7) (m). COS

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 52PQ

See similar textbooks

Related questions

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: Time taken in one oscillation is called time period. So time taken in two oscillations = 2 T

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max,…

A: Given: ω2θmax/ωθmax = 3.14 s-1 Using the above relation, ω = 3.14 s-1

Q: A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: Given: The ratio of the maximum angular acceleration (θ''max) to the maximum angular velocity…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max,…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: In SHM we can relate maximum Angular velocity to maximum angular acceleration.

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max,…

A: Ratio of Maximum angular acceleration to Maximum angular velocity = π per second

Q: Determine the magnitude of the velocity of point C. Express your answer to three significant figures…

A: Here it is given that right circular cone rotates about z-axis. ω1=4.2 rad/sUsing:v=ω×ra=α×r+ω×v

Q: A uniform disk has a pivot point P at the edge, if small oscillation has radius R = 15 cm, mass M =…

A: The center of percussion from the pivot point. rcp=IMR=12MR2MR

Q: We measure the period of oscillation of a simple pendulum. In successive measurements, the readings…

A: Given We measure the period of oscillation of a simple pendulum. In successive measurements, the…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max,…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

Q: A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The…

A: Write the dimensions of time and mass, respectively.Now write the given expression which k is known…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max,…

A: Answer 1sec

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max,…

Q: In an oscillatorymotion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

Q: Problem 2: A 0.55-kg mass oscillates according to the equation x(t)=0.69 cos(9.5t), where the…

A: Hey there, since you have posted a question with multiple subparts. We have solved the first three…

Q: The frequency of an oscillation is the number of times per second that it completes a full…

A: Let the time period of an oscillation = T It means that the time taken to complete 1 oscillation = T…

Q: The frequency of oscillation of a pendulum on a different planet is 3.3 Hz, and the acceleration due…

A: Answer:- Given Frequency (f) = 3.3 Hz Acceleration due to gravity (g) = 290 m/s2 Length of the…

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

4. Two oscillations, at right angle to each other, are described by the equations
x=2 cos(7/2)t (m) and y=cos((7/2)t +7) (m). Construct the curve for the combined
motion and show the direction of motion.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1:-Given

Step 2:- Calculation

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?
A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
(a) If frequency is not constant for some oscillation, can the oscillation be simple harmonic motion? (b) Can you mink of any examples of harmonic motion where the frequency may depend on the amplitude?
A uniform annular ring of mass m and inner and outer radii a and b, respectively, is pivoted around an axis perpendicular to the plane of the ring at point P (Fig. P16.35). Determine its period of oscillation. FIGURE P16.35
An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? (a) 2T (b) 2T (c) T (d) T/2 (e) T/2
A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.
The equations listed in Table 2.2 give position as a function of time, velocity as a function of time, and velocity as a function of position for an object moving in a straight line with constant acceleration. The quantity vxi appears in every equation. (a) Do any of these equations apply to an object moving in a straight line with simple harmonic motion? (b) Using a similar format, make a table of equations describing simple harmonic motion. Include equations giving acceleration as a function of time and acceleration as a function of position. State the equations in such a form that they apply equally to a blockspring system, to a pendulum, and to other vibrating systems. (c) What quantity appears in every equation?
A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?
A small object is attached to the end of a string to form a simple pendulum. The period of its harmonic motion is measured for small angular displacements and three lengths. For lengths of 1.000 m, 0.750 m, and 0.500 m, total time intervals for 50 oscillations of 99.8 s, 86.6 s, and 71.1s are measured with a stopwatch. (a) Determine the period of motion for each length. (b) Determine the mean value of g obtained from these three independent measurements and compare it with the accepted value. (c) Plot T2 versus L and obtain a value for g from the slope of your best-fit straight-line graph. (d) Compare the value found in part (c) with that obtained in part (b).
The equation of motion of a simple harmonic oscillator is given by x(t) = (18.0 cm) cos (10t) (16.0 cm) sin (10t), where t is in seconds. a. Find the amplitude. b. Determine the period. c. Determine the initial phase.
You are working in an observatory, taking data on electromagnetic radiation from neutron stars. You happen to be analyzing results from the neutron star in Example 11.6, verifying that the period of the 10.0-km-radius neutron star is indeed 2.6 s. You go through weeks of data showing the same period. Suddenly, as you analyze the most recent data, you notice that the period has decreased to 2.3 s and remained at that level since that time. You ask your supervisor about this, who becomes excited and says that the neutron star must have undergone a glitch, which is a sudden shrinking of the radius of the star, resulting in a higher angular speed. As she runs to her computer to start writing a paper on the glitch, she calls back to you to calculate the new radius of the planet, assuming it has remained spherical. She is also talking about vortices and a superfluid core, but you dont understand those words.
1. Determine the oscillations of a system with two degrees of freedom whose Lagrangian is 1 L = ½ (x² + y²) — — w²(x² + y²) + axy