Fisicaexe - Solved Problems in Physics

Dynamics

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.

Solution

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.

Solution

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.

Solution

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.

Solution

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.

Solution

A 5 kg block is under the action of a force that varies with time, given by

\[ \begin{gather} \qquad\qquad\qquad F_x=5t+2 \qquad\qquad\qquad \text{units (SI)} \end{gather} \]

with no other forces acting in the x-direction. The initial velocity of the block is 0.5 m/s.
a) What is the acceleration of the block at t = 2 s?
b) What is the velocity of the block at t = 5 s?
c) What is the displacement of the block between t = 2 s and t = 4 s?

Solution

A body with a mass of 2 kg and an initial velocity of 10 m/s in the positive direction is under the action of a force that varies with position, given by

\[ \begin{gather} F_x=-8x \qquad\qquad\text{units (SI)} \end{gather} \]

What will be the distance traveled by this body until its velocity becomes zero?

Solution 1

Solution 2

Solution 3

Relationship between Solution 2 and Solution 3

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