Question 1: The system of three particles has the indicated masses, velocities and external forces. T is the center of mass of the system. T is the kinetic energy. Determine ™‚†‚Ï‚T,H₁ and H¸for this 3D system. Hint: Hµ = ΣN M。 0 0 Z m 2v 4m 1.5d 2d 3v 2m

q1b

Attached question 5, along with equation 6.

1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why?  Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]

Thermodynamics question. please help (2nd Attachment is the table question B is referring to)

One mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.

Q3. In the image shown below, according to the provided datum line, determine the gravitational potential energy of the 5.9-kg block. The radius r = 2.6 m and the angle 0 = 29°. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². Your Answer: Answer Ө units Datum