|A pendulum, consisting of a mass m= kg that is suspended from a string l= m long, is set free from an initial position having an angle ° with respect to the vertical. |
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A box filled with books, having a mass kg, rests on the ground.
Let = and = respectively be the static and dynamic friction coefficients between the cardboard and the ground.
An horizontal force of F= Newton is applied on the box.
Determine the modulus of the friction force acting on the box (rounded to the nearest Newton).
(Assume g= 10 m/s2)
It is assumed that in the conditions of the experiment, the equilibrium of the box can only be broken by slip (the box will not overturn).
A block B of mass mB= g is suspended from a wire of negligible mass
which passes over an (ideal) pulley and is then connected to a block A of mass mA,
resting on a horizontal table.
Let = and = respectively be the static and dynamic friction coefficients of block A on the table surface and let us assume g=9.81 m/s2.
The ensemble will slide if mA is
(The answer must be rounded to the gram).
A block B of mass m is suspended from a wire of negligible mass which passes over an (ideal) pulley and is then connected to a block A having the same mass m, resting on a long horizontal table.
We neglect friction forces between the block A and the table.
As long as the block A does not get in contact with the pulley, we can deduce that :
A package slides along an inclined plane with a constant velocity.
It is known that the total force exerted by the inclined plane is the sum of the reaction force, normal to the incline, and the friction force parallel to the incline
It is possible to deduce :
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You are skiing down a piste when all of the sudden one of your skiis, having a mass M, dettaches and slids downhill with almost no friction.
It is possible to deduce that:
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Two carboard boxes full of books are in contact with each other and both of them rest on the ground.
The friction forces between the carboard and the ground are negligible.
The mass of the box B is equal to times the mass of the box A.
You push the box A by applying a horizontal force F to it.
The resultant force on the box B is equal to... (tick your answer below)
Two cardboard boxes full of books are stacked one on the other.
Let be the static friction coefficient between the two cardboard surfaces and let us neglect friction between the bottom carboard and the ground.
The mass of the box A is times the mass, m, of the box B. You push the box A by applying a horizontal force F to it.
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N.B.: We assume the weak friction conditions where B will not tip over A.
The two boxes will not slide with respect to one another if...?
|Two cardboard boxes full of books are stacked one on the other. |
Let s be the static friction coefficient between the two cardboard surfaces and let us neglect friction between the bottom carboard and the ground. The mass of the box A is times the mass, m, of the box B. You push the box B by applying a horizontal force F to it.
N.B.: We assume the weak friction conditions where B will not tip over A.
The two boxes will not slide with respect to one another if (Tick your answer below ):
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|A block A of mass m is at rest on a horizontal table. It is connected by a wire (of negligible mass) which passes over an (ideal) pulley to a block B of mass m/. Lete
be the static friction coefficient between the block A and the table. |
We assume that under the conditions of the experiment the equilibrium of the system can only be broken by sliding (the block A cannot tip over)
The system will be in equilibrium if and only if (tick you answer below):
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|A block A of mass m is at rest on a horizontal table. It is connected by a wire (of negligible mass) which passes over an (ideal) pulley to a block B of mass . Let us neglect friction forces between the block A and the table. |
The modulus of the acceleration of the block B is given by:
The tension of the wire is given by:
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A pendulum of mass g is suspended from the ceiling in the middle of a car that is moving horizontally at a constant velocity along the direction of the 0x axis.
The height of the car is equal to m and the vertical of the pendulum intersects the car floor at point H.
Let us assume g=10 m/s2
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At the initial instant, , the car speed begins to with a constant of modulus A = g.
The pendulum will therefore tilt
with respect to the train,
defining an angle with respect to the vertical (give the answer rounded to the degree).
If at a given time
we cut the pendulum string
the pendulum will hit the car floor at a distance d from point H, d = (give the answer in m and use 2 significant digits). ( )
A block of mass m rests on an horizontal disk that is rotating anticlockwise with a constant angular velocity
The block does not slide on the disk and it is placed at a distance L from the center of rotation O.
Let be the friction force exerted by the disk on the block, the static friction coefficient between the block and the disk, and we are going to use .
A block of mass m is attached to a spring having a constant equal to k and a natural length (at rest) equal to b.
This block oscillates vertically around its equilibrium position, ze.
For a given position of the mass, represented by its abscissa, z, write an expression for the following quantities as a function of m, g, k, b and z :
A man falls backwards when the subway starts up.
If we work (we place ourselves) in the frame of reference , which one of the following three is a correct description of the horizontal forces acting on the passenger ?
Explain what is the nature of the represented forces :
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Description: exercises on forces and Newton's laws. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, mechanics, physics,, energy, oscillators,