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Classical Mechanics
a spiral spring produces an extension of 0.05m when a load of 500g was hung from it. calculate the extension that will be produced if the load is increased to 800g assuming Hoooke's law is obeyed.
Classical Mechanics
Stone(weight 10kg) falls form 80m height. Neglect air resistance. Kinetic energy just before it hits the ground is ?
Classical Mechanics
While lying on the the beach near the equator watching the sun set over a calm ocean, you start a stopwatch just as the top of the sun disappears. You then stand elevating your eyes by a height of 1.70 m and see the sun again. You stop the watch when the top of the sun disappears again. if the elapsed time is 574 s, what is the radius of the earth?
Classical Mechanics
An object is moving with an initial velocity of 20m/s. It must slow down to a stop in .33 seconds and travel 4m. Write a solution that applies a force to the object to satisfy the expected result.
Classical Mechanics
The blocks a and b are connected by a piece of string. block b rests on an inclined plane of 40 and block a hangs vertically. The coefficient of friction between block b and the inclined plane is 0.29. Calculate the acceleration of the system if the mass of block a is 0.15 ks and that of block b is 7.5 kg
Classical Mechanics
A thin hollow sphere of mass m is completely filled with non viscous liquid of mass m. When the sphere roll on horizontal ground such the centre moves with velocity v, kinetic energy of the system is equal to?
Classical Mechanics
If we take two objects mass of 1 kg and having density more than 1 such that both the bodies submerge in water. Now we take a precise balance and and on one limb of the balance we take certain mass of water in a vessel and on the other limb we place the same exact mass such that the balance remains in perfect equilibrium . Now if we submerge one object of mass 1 kg on one limb of the balance and other object on the other limb then will there be any deflection in the balance? If yes then why? If no then why?
Classical Mechanics
A water balloon is dropped on a bull's-eye target from a stationary hot air balloon. if the water balloon accelerates downward at nine. 81 m/s squared, how long will it take to hit the target?
Classical Mechanics
2. A string of uniform tension T is initially at rest along the negative half of the x–axis. A train of travelling waves of frequency ! and having wavenumber of magnitude k is incident in the direction of increasing x. At x = 0, the string is attached to a ring of mass m free to move without friction vertically up and down a vertical runner. The mass density of the string itself plays no part in this problem, and there is no string to the right of the ring.
a. [5 points] Use a labelled diagram in the region of x = 0 to show that for small displacements of the string, y(x, t), the boundary condition at x = 0 is
m(d^2y/dt^2) = T (dy/dx)
a. [5 points] Use a labelled diagram in the region of x = 0 to show that for small displacements of the string, y(x, t), the boundary condition at x = 0 is
m(d^2y/dt^2) = T (dy/dx)
Classical Mechanics
A small lead ball, attached to a 1.75-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 0.88 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?
