Question

A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizontal spring because the gravitational force acts along the direction of motion. Therefore, the restoring force of the oscillations is not provided by the spring force alone, but by the net force resulting from both the spring force and the gravitational force. Ultimately, however, the physical quantities of motion (position, velocity, and acceleration) for a vertical mass on a spring exhibit the same oscillations as a horizontal mass on a spring.

A 100 g mass hangs from a vertical spring as shown in the picture. The measuring stick shows us the vertical y position of the bottom of the spring with the origin (y = 0) at the top of the spring. Note that the positive y direction is downward. The 100 g mass is at rest at the position shown (y = 50 cm). The dashed line in the picture (y = 30 cm) indicates the unstretched resting length of the spring. The mass is pulled down 6 cm, stretching the bottom of the spring to y = 56 cm, and then released so that it begins oscillating.

-----------------------------------------------------------------------------------

3. What is the spring constant?
k =  ____ N/cm

4. What is the force of the spring on the mass (magnitude and direction) at both the highest point of the oscillation (smallest y) and the lowest point of the oscillation (largest y)? If the force is zero, enter 0 for the magnitude and choose No direction.
Fspring (highest) = ____ N,  ---Select--- Down Up No direction (force is 0)
Fspring (lowest) = _____ N,  ---Select--- Down Up No direction (force is 0)

5. Draw a free body diagram for the mass when it's at the highest point of its oscillation.
What direction is the net force on the mass at this point? If there is no net force, select No direction.  ---Select--- Down Up No direction (force is 0)

Use your free body diagram and Newton's second law to find the magnitude of the acceleration that the mass experiences at the highest point of its oscillation (this is the maximum acceleration).
|amax| =  _____ cm/s2

aram
10
20
30
40
50 cm
expand button
Transcribed Image Text:aram 10 20 30 40 50 cm
Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
Not helpful? See similar books
College Physics
College Physics
Units, Trigonometry. And Vectors. 1CQ
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Physics Q&A

Find answers to questions asked by students like you.

Q: A car uniformly increases it's speed from 40 mi /h to 60 mi/h while going from A to B. Determine the…

A: Consider the given diagram for the motion of the car.

Q: 0.30 μF 2.5 μ 10 μ .

A: Click to see the answer

Q: Find the total capacitance (in µF) of this combination of series and parallel capacitors shown…

A: Capacitor C2 and C1 connected in parallel. The equivalent capacitance is,

Q: 8.0 N 10 N 25 cm 75 cm

A: Torque

Q: What is the net torque about on the bar shown in (Figure 1) about the axis indicated by the dot?…

A: Write the expression for torque due to 8N force.

Q: 5.0N 6.0 N 28

A: Click to see the answer

Q: Forensic scientists can measure the muzzle velocity of a gun by firing a bullet horizontally into a…

A: By conservation of momentum, the momentum of the bullet before collision is equal to the momentum of…

Q: -8.0х10°с A B - 8.0х10°с 0.20 m 0.20 m 0.40 m

A: Value of first charge (q1) = 8 x 10-9 C Value of second charge (q2) = - 8x10-9 C

Q: Consider the system pictured as shown. A 15.0-cm horizontal wire of mass 15.0 g is placed between…

A: Given:-             The motion of a conductor current carrying in a uniform magnetic and…

Q: 0.4 m 4ミ-3.5uC こ

A: Click to see the answer

Q: 35 N 28 N 135 12 cm 24 cm 18 N

A: Click to see the answer

Q: 11.9 N 40.0° 14.6 N 8.50 N 0.350 m

A: Click to see the answer

Q: 0.25 T 5.0 cm SIX X XX XI

A: Write the given values with suitable variables. d=8 mmB=0.25 Tb=3 cm=0.03 ml=5 cm=0.05 m Here, d, B,…

Q: 4 m 3 m 2 m В F = {4i + 12j – 3k} kN

A: Click to see the answer

Q: 9= 9 92=Q 10.0 cm 93= -9 4= -Q

A: Click to see the answer

Q: What is the net torque on the bar shown, about the axis indicated by the dot?

A: The torque is given as:

Q: 03 m 30 k= 200 N/m 0.4 m 40 kg

A: Click to see the answer

Q: 30 60 50 10 45

A: Draw the schematic diagram of the system. Here, section 1 is a complete larger rectangle, section…

Q: 12 иF 8 µF 1 µF 20 µF 5 µF 3 µF

A: Given: An arrangement of capacitors. 8 μF, 20 μF, 3 μF, 12 μF, 4 μF, 5 μF,  To determine: Equivalent…

Q: 30 50 40 60 7.6 0 22 0 90 20 b

A: Click to see the answer

Q: We considered an application in which sailboat racers look for a sailing angle to a 10-knot wind…

A: We are to find the speed of the sailboat at a 180o angle.

Q: 28.64     The long straight wire AB shown in Fig. P28.64 carries a current of 14.0 A.  The…

A: Click to see the answer

Q: What is the net torque on the bar shown, about the axis indicated by the dot?

A: Click to see the answer

Q: -6.25 nC -12.5 nC В 10.0 cm 10.0 cm 25.0 cm A FIGURE 17.50 Problem 39.

A: Given data:  q1=-6.25 nC=-6.25×10-9 C & q2=-12.5 nC=-12.5×10-9 C are 25 cm apart. Distance of…

Q: homeowner is planning on adding cooling to the air conditioning for hishouse. What is the volume of…

A: To calculate the volume of the space needed to be cooled, the air conditioner should by placed at…

Q: Each capacitor in the combination shown in Figure P25.28 has a breakdown voltage of 15.0 V. What is…

A: The combination of capacitors is

Q: What is the net torque on the bar shown, about the axis indicated by the dot?

A: Click to see the answer

Q: +6 μC 5 cm + 20 μC 12 μC 12 cm

A: 523.37N

Q: 0,20- 0.15 0.10t 0.05t

A: Since you have asked more than three sub parts of a question, so according to our guidelines we will…

Q: 0.28 m 50.0

A: Click to see the answer

Q: As shown below, if M = 5.50 kg, what is the tension in string 1?

A: Click to see the answer

Q: What is the net torque about the axle on the pulley shown?

A: Given ,         T1=20 N         T2=30 N        R=42cm=2x10-2 m

Q: The 2.0-m-long, 15 kg beam shown is hinged at its left end. It is “falling” (rotating clockwise,…

A: Given, The length of the beam is 2.0m long The mass of the beam is 15kg

Q: Tension in the string is could you please convert to another unit for Tension (T) Thanks

A: Convert the given units of tension,

Q: yA 60° А 3D 10.0 30° 30° 53° D = 20.0 37° 10 С %3D 12.0 F = 20.0 В 3 5.0

A: Click to see the answer

Q: yA 60° А 3D 10.0 30° 30° 53° D = 20.0 37° 10 С %3D 12.0 F = 20.0 В 3 5.0

A: Click to see the answer

Q: 5ks = 0.3 %3D

A: Click to see the answer

Q: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

A: Click to see the answer

Q: A uniform plank of length 2.00 m and mass 30.0 kg issupported by three ropes, as indicated by the…

A: Given:Length = 2 mMass = 30 kgAngle = 40oTension = 700 N

Q: Even when the head is held erect, as in Figure shown, its center of mass is not directly over the…

A: a) Using the torque balance equation,

Q: Even when the head is held erect, as in Figure shown, its center of mass is not directly over the…

A: Given: W = 50 N In the given figure, take anti-clockwise torque as positive and clockwise torque as…

Knowledge Booster
Physics
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.
Recommended textbooks for you
  • College Physics
    Physics
    ISBN:9781305952300
    Author:Raymond A. Serway, Chris Vuille
    Publisher:Cengage Learning
    University Physics (14th Edition)
    Physics
    ISBN:9780133969290
    Author:Hugh D. Young, Roger A. Freedman
    Publisher:PEARSON
    Introduction To Quantum Mechanics
    Physics
    ISBN:9781107189638
    Author:Griffiths, David J., Schroeter, Darrell F.
    Publisher:Cambridge University Press
  • Physics for Scientists and Engineers
    Physics
    ISBN:9781337553278
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Lecture- Tutorials for Introductory Astronomy
    Physics
    ISBN:9780321820464
    Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
    Publisher:Addison-Wesley
    College Physics: A Strategic Approach (4th Editio...
    Physics
    ISBN:9780134609034
    Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
    Publisher:PEARSON
  • College Physics
    Physics
    ISBN:9781305952300
    Author:Raymond A. Serway, Chris Vuille
    Publisher:Cengage Learning
    University Physics (14th Edition)
    Physics
    ISBN:9780133969290
    Author:Hugh D. Young, Roger A. Freedman
    Publisher:PEARSON
    Introduction To Quantum Mechanics
    Physics
    ISBN:9781107189638
    Author:Griffiths, David J., Schroeter, Darrell F.
    Publisher:Cambridge University Press
    Physics for Scientists and Engineers
    Physics
    ISBN:9781337553278
    Author:Raymond A. Serway, John W. Jewett
    Publisher:Cengage Learning
    Lecture- Tutorials for Introductory Astronomy
    Physics
    ISBN:9780321820464
    Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
    Publisher:Addison-Wesley
    College Physics: A Strategic Approach (4th Editio...
    Physics
    ISBN:9780134609034
    Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
    Publisher:PEARSON