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Classical Mechanics
An engineering student wants to build a hydraulic pump to lift a 1,815 N crate. The pump will have two pistons connected via a fluid chamber. The student calculates that a force of 442 N will be exerted on the small piston, which will have an area of 50.2 cm². What must be the area of the large piston be to exert the desired force?
Classical Mechanics
A pendulum, of length 3m, supports a bob of mass 100g (0.1kg). The bob is pulled upwards until the pendulum string makes an angle of 20 degrees with the vertical. What velocity will the bob be moving at when the pendulum passes through the vertical position?
Classical Mechanics
A 50.0 g object connected to a spring with a force constant of 35.0N/m oscillates with amplitude of 4.00cm on a frictionless, horizontal surface. Find
(a) the kinetic and potential energy when its position is 3.00cm
(a) the kinetic and potential energy when its position is 3.00cm
Classical Mechanics
A 50.0 g object connected to a spring with a force constant of 35.0N/m oscillates with amplitude of 4.00cm on a frictionless, horizontal surface. Find
(a) the total energy of the system
(b) the speed of the object when its position is 1.00cm
(a) the total energy of the system
(b) the speed of the object when its position is 1.00cm
Classical Mechanics
A particle executes simple harmonic motion with amplitude of 3.00cm. At what position does its speed equal half of its maximum speed?
Classical Mechanics
A 200g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250s. The total energy of the system is 2.00J. Find
(a) the force constant of tge spring
(b) the amplitude of the motion.
(a) the force constant of tge spring
(b) the amplitude of the motion.
Classical Mechanics
A 0.5kg object attached to a spring with a force constant of 8.00N/m vibrates in simple harmonic motion with amplitude of 10.0cm.Calculate the maximum value of its
(a) speed and (b) acceleration when the object is 6.00cm from tge equilibrium position and (c) the time interval required for the object to move from x = 0 to x = 8.00cm
(a) speed and (b) acceleration when the object is 6.00cm from tge equilibrium position and (c) the time interval required for the object to move from x = 0 to x = 8.00cm
Classical Mechanics
At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0N/m is set into oscillatory motion with amplitude of 20.0cm. It is observed that the maximum speed of the bunch of bananas is 40.0cm/s. What is the weight of the bananas?
Classical Mechanics
A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3600 rev/min. Taking the extremes of its position relative to its center point as 65.00cm, find the magnitudes of the
(a) the maximum velocity
(b) the maximum acceleration of the piston.
(a) the maximum velocity
(b) the maximum acceleration of the piston.
Classical Mechanics
A simple pendulum has a period of 2.5 s. What is its period if its length is made four times larger?
