A uniform rigid disc is rotating around its center of mass. (a) Is it possible for...
A uniform rigid disc is rotating around its center of mass. (a) Is it possible for the disc to have a centripetal acceleration but no tangential acceleration (that is, aT = 0). (b) If yes, provide an example. (c) Is it possible for the disc to have a tangential acceleration but no centripetal acceleration (that is aC = 0). (d) If yes, provide an example.
Homework Answers
a) yes, it is possible for a point on the disk to have no tangential acceleration. This happens when the angular acceleration of thhe disk will be zero, I.e. when disk moves with constant angular velocity. In that case any point on the disk will only experience centripetal acceleration.
c) only for one moment when the angular velocity of disk is zero and angular acceleration of the disk is nonzero, every point on the disk will only experience the tangential acceleration, and centripetal acceleration at that moment will be zero.
Add Answer to:
A uniform rigid disc is rotating around its center of mass. (a)
Is it possible for...
Question 1. A uniform circular disc of mass m and radius r is pivoted at point...
Question 1. A uniform circular disc of mass m and radius r is pivoted at point 0, as shown in Figure 1. The disc is released from the position shown. Immediately after the release: (a) Obtain the angular acceleration of the disc in terms of r,1,g, and 0. [5 marks) [8 marks) Assuming r = 0.5 m and @ = 30° and using plot function in MATLAB: (b) Determine how the initial angular acceleration changes as I is varried from...
A uniform disc of radius 30 cm and mass 12 kg is pivoted so that it...
A uniform disc of radius 30 cm and mass 12 kg is pivoted so that it is free to rotate about an axis through its center. A string wrapped around the disc is pulled with a force of 80 N. What is the angular velocity of the disc after 5 s ?
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
9. A disc is rotating about a axis through the center at a constant angular velocity...
9. A disc is rotating about a axis through the center at a constant angular velocity oo. Two ants of equal mass suddenly drop onto the edge the disc and gets stuck to the rotating disc. Does the Moment of Inertia of the system increase or decrease? Explain a. b. Does the angular velocity increase or decrease? Explain 01 c. Now suppose the two ants start moving toward the center at a constant speed. i.Does the moment of inertia increase...
A rigid body, with its center of mass located at the position r G = −...
A rigid body, with its center of mass located at the position r G = − 2.76 I ^ + 0.96 J ^ (in), and rotating about the origin A, has a mass of m = 8.24lbm and a moment of inertia about its center of mass of I G = 11.3290 lbf in s2. At the instant shown, it has an angular velocity of θ ˙ = − 0.21 rad/s. In addition to the gravitational force acting in the...
Question 7(a). A string is wound around a uniform disc of mass M and radius R....
Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...
A 20.0kg box is suspended by a very light rope wrapped around a solid disc of...
A 20.0kg box is suspended by a very light rope wrapped around a solid disc of 0.5m in diameter. The mass of the disc is 10kg. The disc pivots on a frictionless axle through its center. The box is then released from rest and falls 15m to the floor. Moment of inertia of a solid disc I=1/2_MR^2. a) Draw free body diagram for the box and the disc. b) Determine the tension in the rope while the box is falling....
A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.7 rev/s. The wheel can be co...
A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.7 rev/s. The wheel can be considered a uniform disk of mass 5.8 kg and diameter 0.40 m. The potter then throws a 3.1 kg chunk of clay that is shaped like a flat disk of radius 8.0 cm, onto the center of the rotating wheel. What is the frequency of the wheel after the clay sticks to it?
A small mass is placed on a turntable that is rotating at 45 rpm. The centripetal...
A small mass is placed on a turntable that is rotating at 45 rpm. The centripetal acceleration is Select one O a. greater when the mass is closer to the center of the circle o b. greater when the mass is farther from the center of the circle O c. independent of the location of the mass o d. zero PREVIOUS PAGE
A uniform disk of radius 0.455 m0.455 m and unknown mass is constrained to rotate about...
A uniform disk of radius 0.455 m0.455 m and unknown mass is
constrained to rotate about a perpendicular axis through its
center. A ring with the same mass as the disk is attached around
the disk's rim. A tangential force of 0.237 N0.237 N applied at the
rim causes an angular acceleration of 0.129 rad/s2.0.129 rad/s2.
Find the mass of the disk.Why is this wrong?
A uniform disk of radius 0.455 m and unknown mass is constrained to rotate about...
Question 1. A uniform circular disc of mass m and radius r is pivoted at point 0, as shown in Figure 1. The disc is released from the position shown. Immediately after the release: (a) Obtain the angular acceleration of the disc in terms of r,1,g, and 0. [5 marks) [8 marks) Assuming r = 0.5 m and @ = 30° and using plot function in MATLAB: (b) Determine how the initial angular acceleration changes as I is varried from...
Example 10.8 Rotating Rod A uniform rod of length L 1.6 m and mass 2.8 k is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in the figure. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of its right end Pivot SOLVE IT Mg A rod is free to rotate around...
9. A disc is rotating about a axis through the center at a constant angular velocity oo. Two ants of equal mass suddenly drop onto the edge the disc and gets stuck to the rotating disc. Does the Moment of Inertia of the system increase or decrease? Explain a. b. Does the angular velocity increase or decrease? Explain 01 c. Now suppose the two ants start moving toward the center at a constant speed. i.Does the moment of inertia increase...
Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...
A small mass is placed on a turntable that is rotating at 45 rpm. The centripetal acceleration is Select one O a. greater when the mass is closer to the center of the circle o b. greater when the mass is farther from the center of the circle O c. independent of the location of the mass o d. zero PREVIOUS PAGE
A uniform disk of radius 0.455 m0.455 m and unknown mass is
constrained to rotate about a perpendicular axis through its
center. A ring with the same mass as the disk is attached around
the disk's rim. A tangential force of 0.237 N0.237 N applied at the
rim causes an angular acceleration of 0.129 rad/s2.0.129 rad/s2.
Find the mass of the disk.Why is this wrong?
A uniform disk of radius 0.455 m and unknown mass is constrained to rotate about...
Most questions answered within 3 hours.
-
1. Which of the following is false about photosynthesis?
A. ATP is the molecule used to...
asked 8 minutes ago -
A simple random sample of size n=64 is obtained from a
population with a mean of...
asked 1 hour ago -
(2 dimensions, 1 object, 2 accelerations)
1) A projectile is thrown with a wind. The wind...
asked 1 hour ago -
Brian makes $34,100 per year. How much can Brian expect to
contribute to FICA taxes in...
asked 2 hours ago -
To buy a new house you must borrow $155,000. To do this you take
out a...
asked 2 hours ago -
Spacely Sprockets is evaluating the construction of a new plant
on land the company purchased for...
asked 3 hours ago -
1. Consider a linear regression model of y on K regressors and
an intercept.
(i) Describe...
asked 3 hours ago -
Enter a balanced equation for the reaction between hydrochloric
acid and sodium sulfite.
Express your answer...
asked 3 hours ago -
Give a regular expression describing the language
{x | x ∈ Σ* and x does not...
asked 3 hours ago -
Masses of 1.0 kg, 2.0 kg, and 3.0 kg are each separately subject
to a net...
asked 4 hours ago -
The mode of philosophical argumentation and thought. How do
philosophers think and write? What is important...
asked 4 hours ago -
At the beginning of the unit, you were asked whether you thought
it was appropriate or...
asked 4 hours ago