this is more of a conceptual question, but how would I set a problem like this up given actual values? How much energy added to a system will appear as rotational kinetic energy given the moment of inertia of the system?
Given is the moment of inertia I. Angular velocity w will also be given. Then, the rotational Kinetic energy added to the system will be:
KE = 1/2*Iw^2
this is more of a conceptual question, but how would I set a problem like this...
this is more of a conceptual question, but how would I set a problem like this up given actual values? When energy is conserved in a system, how will it be distributed among potential, linear kinetic, and rotational kinetic energy at different times? I am wondering if there is a specific equation that relates these values or how I would derive an equation that relates these values.
5. A diatomic molecule (like H2) can be modeled as two atoms of equal mass m, connected by a rigid massless rod of length a. The system is free to rotate in 3-D. I claim the moment of inertia of this molecule around its ceater of mass is a. (Feel free to convince yourself that factor of k is coect!) Big hint if you 're having trouble getting started: this problem is directly related to McIntyre's Ch A) The energy...
Physics Ques! Rotational Kinetic Energy problem I am having.
I need a sample problem pertaining to rotational KE that uses
spherical rotation. Please use either of the two diagrams in my
picture to create a problem.
Make sure the following equation is used to solve the
problem.
PE=(KE)1(KE)2 + 1/2mv2
Also I need to solve for velocity of the object on the string,
of mass 'm'.
Here is the picture with the diagrams of the two problems I need
an...
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33.7° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 36.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
This is more of a conceptual question. I have learned about Neural Nets, and I have some clue as to how Support Vector Machines work. I read somewhere however that given the appropriate kernel (is that right?), the SVM is identical to the Neural Net. Could someone who understands this please enlighten me as to how that's possible?
A hollow sphere of radius 0.240 m, with rotational inertia I = 0.0470 kg·m2 about a line through its center of mass, rolls without slipping up a surface inclined at 13.3° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 12.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.690...
To understand how to use conservation of angular momentum to solve problems involving collisions of rotating bodies. (Figure 1) Consider a turntable to be a circular disk of moment of inertia It rotating at a constant angular velocity ωi around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is...
the moment of inertia given is for the center of mass rather
than the point where the string touches the yoyo
A yo-yo has a rotational inertia of 770 cm and a mass of 105 g. Its axle radius is 2.4 mm and its string is 110 cm long. The yoyo is thrown so that its its initial speed down the string is reaches the end of the string, what are the following values? (a) the time taken to reach...
Hi, please answer the
question. I will be more then happy to thumbs up it if it is
correct!
A uniform rod of mass m = 10 kg has length L = 65 cm . Instead of pivoting it at its end, we pivoted it at L/3 from the end as shown in the figure, we now set the rod into small angle oscillations. What is the period of the oscillation given that the moment of inertia about the pivot...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...