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1. Calculating the covariance of two discrete random variables

Thank you for chiming in; it's good to know I'm not the only one who thought the wording was a bit murky.
2. Calculating the covariance of two discrete random variables

Homework Statement If the random variables T and U have the same joint probability function at the following five pairs of outcomes: (0, 0), (0, 2), (-1, 0), (1, 1), and (-1, 2). What is the covariance of T and U? Homework Equations σxy = E(XY) - μx⋅μy The Attempt at a Solution My issue with...
3. 3D moments - what am I doing wrong?

Homework Statement A 200N force is applied to the handle of the hoist in the direction shown. The bearing A supports the thrust (force in the direction of the shaft axis), while bearing B supports only radial load (load normal to the shaft axis). Determine the mass 'm' which can be supported...
4. Conceptual question regarding the conservation of energy

Thank you! For some reason, I was fixated on the element surface being at a constant temperature.
5. Conceptual question regarding the conservation of energy

Hi PF, I've got a very trivial conceptual question regarding the conservation of energy with respect to thermodynamics and heat transfer that I can't seem to figure out. Suppose I have an electric heating element with a 240 volt, 30 amp supply, in contact with a solid volume of an arbitrary...
6. First-order spring/damper system in parallel

I've thought about this more since posting, and I'm confident that k can be solved by k = F/x since the damper provides no resistance when the velocity is zero. This whole thread can be deleted if a moderator wishes. Sorry for the waste of bandwidth!
7. First-order spring/damper system in parallel

Homework Statement A viscous damper, with damping constant b, and a spring, with spring stiffness k, are connected to a massless bar. The bar is displaced by a distance of x = 0.1m when a constant force F = 500N is applied. The applied force F is abruptly released from its displaced position if...