I choose disk a.
because, it has less moment of inertia compared to disk b.
we know, Net torque = I*alfa
==> alfa = Net torque/I
the disk which has less moment of inertia has more angular acceleration.
for disk a, I = m*R^2/2
for disk B, I = m*(R1^2 + R2^2)/2
R1 is inner radius and R2 is outer radius
Assume both disc (a and b) have same mass m. Which disc you will choose to...
Please answer that question ASAP
1. Consider a disc and hoop both of the same mass M, radius R and thickness I. a) Explain why one of these objects has a larger moment of inertia (about an axis through the center of mass and perpendicular to the plane of the object) than the other. What effect does the thickness I have on the rotational inertia? b) Explain how the rotational inertia of the disc may be obtained by adding the...
Recall your experimental setup from Lab 05A: a constant force was applied to a disc by attaching a mass to a light string wrapped around a mass-less pulley and hanging the mass over the edge of the apparatus. In the lab, you used energy conservation arguments to derive an expression for the angular velocity of the disc after the mass had fallen a distance x. Your goal now is to use kinematics and dynamics to confirm your expression. Use the...
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...
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...
The car shown in the figure has mass m(this includes
the mass of the wheels). The wheels have radius r, mass
mw, and moment of inertia
I=kmwr2. Assume that the axles
apply the same torque ? to all four wheels. For
simplicity, also assume that the weight is distributed uniformly so
that all the wheels experience the same normal reaction from the
ground, and so the same frictional force.
Part A
If there is no slipping, a frictional force must...
A uniform disc with mass M and radius R = 0.10 m is mounted on a frictionless, horizontal axle, as shown in the figure. The light cord wrapped around the disk is pulled so that it has a constant tension of T = 20.0 N. Starting from the rest, the disk performs a rotational motion with a constant angular acceleration a = 2 rad/s2 Find mass M of the disk. (Note that the moment of inertia of the disk is...
3. A bicycle wheel of radius 0.50 m and solid disc of the same radius of 0.50 m are placed at the top of the incline below. They both have a mass of 500 g. a. Calculate the rotational inertia of each. b. Which one will reach the bottom of the incline first? Explain using your understanding of what rotational inertia is. Please show all work. Thank you!
A grindstone of mass M = 30 kg and radius 0.5 m has a constant acceleration, ", of 3.0 rad/s2. After 2 seconds.... A. Find the angular displacement B. Find the angular speed, T, after two seconds. C. Find the distance traveled in meters of a point on the rim of the grindstone after two seconds. D. Find the linear (or tangential) speed, v, of a point on the rim after two seconds. E. Find the tangential acceleration of a...
A solid disc of mass 2. kg and radius 0. 20 m rolls with velocity 3 m/s. What is the maximum height it can reach if it moves up on an inclined plane ? (Note: I = 0.5 MR 2 for a solid disc, and g = 9.80 m/s 2 .) Two tensions are applied from opposite sides of a pulley as T1 = 20 N and T2=35 N. Pulley is a solid disc of radius 0.5 m and with...
All questions added because it is needed for Question 6 to 11 to
be answered (I believe).
Answer Question 6 to 11. Please. Thank you
Practical 3: Rotation due to an External Moment - Pre-Lab Preparation Rotation due to an External Moment: Pre-lab Preparation In this practical exercise you will investigate the angular acceleration of a disc about its centre of mass due to an applied moment, and determine the moment of inertia of the disc. Write down the equation...