(b) 3 particles are moving on a plane surface, connected to each other, write no of constraint forces and degrees of freedom.
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- Consider a solid sphere (e.g., a planet) with mass M and radius R. The volume mass density for this planet is given by r2 p(r) = for rR where A is a constant with the units of kg/m'.Determine the magnitude of the resultant its pointing and its angle with its component or the given concurrent force system in space A=150KN (3, - 2, 4) B= 320KN (4, 4, 5) C=110KN ( -3, 2, -3)A particle with mass 80 g is ejected vertically upward with initial speed 5.0 m/s on Mars. The gravity of mass is 3.3 m/s?. Calculate (a) the gravitational force on the particle. (b) the highest attitude reached by the particle. Neglect the air resistance. (c) the time for the particle back to the initial point.
- Solveoblain the eguatiens of mdions For the a mass in particle of patential v(xsk3) Motion of a spherical polat Coerdinates.A simple pendulum is given an initial tangential velocity such that it swings in acomplete circle around its fulcrum. Assume:● The string is 32 meters long● The bob has mass M Determine: (A) The minimum velocity atthe top ofthe loop. Now assume the mass passesthrough the top of the loop with theminimum found in part (a), above; Determine: (B) the velocity at an angle of 30 degrees from the vertical(i.e.: at 30 degrees up from a position fully at the bottom of the loop).
- Three equal masses, each equal to m, are kept at the vertices of an equilateral triangle of side a. Find the gravitational field and gravitational potential at the centroid of the triangle.Does the escape speed of a body from the earth depend on (a) the mass of the body, (b) the location from where it is projected, (c) the direction of projection, (d) the height of the location from where the body is launched?A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D