Dynamics
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A small block with mass m1 is placed over another larger block with mass m2, 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 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 projectile of mass m is fired with an initial velocity of v0 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 m1 and m2 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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