Assignment - Mechanical Engineering Questions

Assignment Help Mechanical Engineering

Reference no: EM132459223

Assignment - Mechanical Engineering Questions

Q1. In a planetary gearbox, the sun gear with radius r1 is constant and the torque applied to the carrier, which rotates with a right angle w. Determine the rotational speed in an annular gearbox with a radius r, as well as the speed V of the point A lying on the circumference of the planetary gear.

Q2. A plate with mass M lies on two identical cylinders with mass m and radius r each. The system is driven by a horizontal force F applied to the plate. Find the acceleration of the disc.

Q3. Using the Lagrange method, derive the equation of movement of the crankshaft mechanism, which consists of a point mass m1 at the end of the crank and a piston m2. The crank and connecting rod are weightless. There is also a spring with a stiffness k and a free length r.

Q4. A rectangle with dimensions a and b moves in such a way that point A has the speed v1 directed along the side AD and speed v2 at point B along the diagonal BD. Specify the speed on the C value.

Q5. Derive the equation of relative motion of the particle m moving without friction along the horizontal wire, which rotates around the vertical axis with a constant speed w. Find the solution to this equation if the initial conditions are x (0) = a v (0) = 0.

Q6. A rope with a negligible weight is wound around a cylinder with a mass of m and radius. The cylinder moves on a flat floor due to the force F applied to the rope. Find acceleration.

Q7. Derive the equation for the mathematical motion of the pendulum with mass m and length at rest Lo, using the lagrange method. The mass is suspended on a thread wound around a fixed circle.

Q8. A rectangle with dimensions a and b moves in such a way that point A has the speed v1 directed along the side AD and speed v2 at point B along the diagonal BD. Specify the speed on the C value.

Q9. A cylinder of mass m1 and radius r1 unwinds from a rope due to its weight and pulls another cylinder (m2, r2) by the same rope wound on it. Determine the linear acceleration of the first cylinder.

Reference no: EM132459223

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