A block, mass = m1, lies on an incline of angle theta, and is connected to a second block of mass m2=3/2 m by a string that passes over a light frictionless pulley. The second block hangs vertically and is firmly attached to a spring that has negligible mass and a force constant of k. The opposite end of the spring is firmly attached to a horizontal surface. The spring is unstretched, when both masses are in their equilibrium positions. The surface of the incline is frictionless. The block atop the spring is a distance h above the horizontal surface when the spring is unstressed.

Now the mass m1 is pulled down the incline a distance h from the equilibrium position and released. What is the speed of both blocks when they pass through their equilibrium points?

Solution Preview

First, at equilibrium condition if m2 is larger than m1, the spring will be compressed. Since you said the spring is unstretched when both masses are in their equilibrium positions, I assume "m2 = 3/2 m" is ...

Solution Summary

The solution walks through the process to find the answer using the relevant equations and explanation.

... b)the speeds of masses m2 and m3 after the second ... b)the speed and direction of the second ball after the ... When the spring is released the block is projected up ...

... Thus, the change is speed is given by. ... it de-taches from the m1 block, and the blocks continue to move away from each other at respective speeds v1 and v2. ...

... The coefficient of kinetic friction between block and table is ... The speed relative to the water is the velocity ... is running boat is having both speeds rowing and ...

Physics Flat Plane Incline. ... What would be the acceleration of the block down the plane assuming the ... from which it was launched, what was the launch speed of the ...

... Assume the block moved distance x before its speed dropped to third ... When both cars increased their speed by 5.0 m/s ... What were the original speeds of the two cars ...

... what vertical height on the inclined plane (in terms of the radius of the loop) must the block be released if it is to have the required minimum speed at the ...

... kg block slides along a horizontal frictionless surface 3.0 m above the ground at a constant speed of 2.0 m/s. The block then slides down an incline that makes ...

... c) What is the speed of the suspended block when it has fallen a ... The expert examines the magnitude of acceleration and tension for the speed of blocks. ...

... A block of mass m=1.62 kg slides down a frictionless incline. ... What is the force of the inclined track on the block at point B c) At what speed does the ...