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Consider a cube of side l=10 cm, a solid cylinder of base radius l, and a solid circular cone of base radius l. All objects are made up of steel of density ρ = 7800 Kg/m3 , and have the same mass M. They are placed on a horizontal, frictionless platform. The cylinders and the cones are placed on their circular base. Which of these objects will be mechanically the most stable?
Calculate the mass m needed in order to suspend the leg shown in the figure below. Assume the leg (with cast) has a mass of 14.1 kg, and its CG is 34.2 cm from the hip joint; the sling is 80.4 cm from the hip joint.
Two bodies m1 and m2 attached to each other by weightless rigid rod of length a can slide along fixed axes which formed angle with horizontal axis (as drawn shows). Find the Lagrangian of this system?
Two bodies m1 and m2 attached to each other by weightless rigid rod of length a can slide along fixed axes which formed angle with horizontal axis (as drawn shows). Find the Lagrangian of this system?
A 40t rail car travels at 4km/h and collides with a 100t wagon on the same track, moving in the opposite direction at 1,2km/h
i) Find their velocities immediately after impact, assuming no energy loss [8]
ii) Find the impulse between them [5]
A particle f mass 5kg is moving in anticlockwise direction with aspect of 3m/s ina circular path of radius 10cm.Find the angle moving of this particle with respect to the centre of the path?
A 4.0 kg crate has initial speed 2.70 m/sec and slides 1.80 meters across a flat,
rough floor before coming to rest.
a) Find the initial kinetic energy and final kinetic energy.
b) How much mechanical energy is lost due to friction?
c) What work do the following forces do?
a. The gravitational force
b. The normal force
c. Friction
You’re using a winch to lift supplies that weigh 2380 N a distance of 6.80 meters. How much time does it take an 820 Watt motor to lift these supplies?
In a circular motion question, where an object is on a spinning disk (there is no tension force) I am required to find speed, I am given mass of the object, the radius of the spinning disk, and coefficient of friction between the two, what equation and solutions are needed to find the speed?
L0. A triangle has verticen at A(2,3, 1), B(-1, 1, 2), C(1, -2, 3). Find the acute angle which the median to side AC makes with aide BC. Ana.
