Dynamics

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A small block with mass *m*_{1} is placed over another larger block with mass
*m*_{2}, and this, on a horizontal plane. Block 1 is drawn with a force that makes an angle
θ with the vertical, and bock 2 is drawn horizontally, the static friction coefficient between the
blocks, and between the block and the plane is equal to μ. Determine the minimum values of the forces
with which the blocks must be pulled so that the movement begins.

A particle with mass *m* is released at rest and falls under the action of the force of gravity, and
force of resistance proportional to falling speed. Determine:

a) The equation of velocity as a function of time;

b) The terminal velocity;

c) The equation of displacement as a function of time;

d) The acceleration of motion.

a) The equation of velocity as a function of time;

b) The terminal velocity;

c) The equation of displacement as a function of time;

d) The acceleration of motion.

A particle of mass *m* is launched vertically upwards with initial velocity v0 and rises under the
action of a resistance force proportional to the speed. Determine:

a) The equation of velocity as a function of time;

b) The equation of displacement as a function of time;

c) the maximum height reached by the particle.

a) The equation of velocity as a function of time;

b) The equation of displacement as a function of time;

c) the maximum height reached by the particle.

A projectile of mass *m* is fired with an initial velocity of *v*_{0} making an angle
θ with the horizontal line. In the projectile acts the force of resistance due to air is proportional
to speed. Determine the velocity and displacement equations as a function of time.

In the system, the masses *m*_{1} and *m*_{2} are known. Find the angle θ and
the tension forces on the ropes so that the system remains in equilibrium. The pulley is lightweight
and frictionless.

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Fisicaexe - Physics Solved Problems by Elcio Brandani Mondadori is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License .