Giacomo Fragione

Mechanics exercises

 

Day 08/03/2016

• Review of kinematics and useful formulae

• Uniform recitilinear motion (ex. 1.2 pag. 6 MSV)

• Zeno paradoxe of Achille and the tortoise

• Circular motion in polar coordinates (ex. 1.28 pag. 27 MSV)

• Various plane motion (ex. 1.24 pag. 22 MSV)

 

Day 09/03/2016

• Parabolic motion (ex. 1.17 pag. 16 MSV)

• Motion of a constrained stick (ex. 1.26 pag. 25 MSV)

• Spiral motion (ex. 1.29 pag. 28 MSV)

 

Day 18/03/2016

• Review of the transformations of velocity and acceleration between two frames

• Relative traslational motion

• Falling body in an accelerated frame

• Relative rotational motion

• Falling body seen by a rotational frame

 

Day 23/03/2016

• Review of dynamics and fundamental relations

• Plane motion under an external force

• Plane motion of two bodies under an external force (ex. 2.18 pag. 52 MSV)

• Static equilibrium of a hanging body (ex. 2.24 pag. 57 MSV)

• Smooth inclined plane (resolved with forces)

• Body falling in a 3-d inclined plane (Exam test)

 

Day 01/04/2016

• Motion on a sphere under the body's weight

• Motion of a body linked to two bodies in rectilinear motion

• Motion of a rotating body with varying distance

• Body moving in a cone (Exam test)

• Body moving in a cone linked to a spring in the cone centre (Exam test)

 

Day 06/04/2016

• Review of equations for elastic forces and armonic oscillations

• Hanging body from a spring

• Hanging body from two springs

• Motion of two bodies linked by a spring under constant force (ex. 4.14 pag. 104 MSV)

• Body moving on a semicircumference linked to a spring (Exam test)

 

Day 07/04/2016

• Motion of a body on a rectilinear constraint under an elastic force

• Body falling from a slope

• Body falling from an inclined rectilinear slope finishing in a circular one

• Thee body moving under gravity (ex. 2.19 pag. 53 MSV)

 

Day 15/04/2016

• Pendulum moving a body

• Body moving under gravity and two elastic forces

• Body linked to a spring on an inclined plane (Exam test)

• Body falling in a moving inclined plane (Exam test)

 

Day 22/04/2016

• Falling body in a inclined plane against a spring (Exam test)

• Body moving on a circular constrain linked to two springs (Exam test)

• Review of the equations systems dynamics and centre of mass reference frame

• Centre of mass of a circular body (ex. 5.3 pag. 113 MSV)

• Motion of a body breaking into two parts

 

Day 26/04/2016

• Body moving on a slope I (Exam test)

• Body moving on a slope II (Exam test)

 

Day 27/04/2016

• Exam test

 

Day 29/04/2016

• Review of the equations systems dynamics and centre of mass reference frame

• Motion of a body breaking into two parts

• Body climbing an inclined plane

• Motion of a shooting cannon

• Relative motion of three body (ex. 5.5 pag. 115 MSV)

 

Day 10/05/2016

• Relative motion of two falling bodies linked by a spring (ex. 5.10 pag. 119 MSV)

• Motion of a varying mass object

• Review of fundamental equations for statics and dynamics of rigid bodies

• Moment of inertia of a equilateral triangle (ex. 6.3 pag. 141 MSV)

• Equilibrium of a bar (ex. 6.67 pag. 208 MSV)

 

Day 11/05/2016

• Equilibrium of a bar sustained in two points with friction (ex. 6.70 pag. 211 MSV)

• Motion of two bodies under gravity linked to a cylinder

• Motion of a disk under an external force

• Motion of pure rotation of a ring on an inclined plane

 

Day 20/05/2016

• Elastic collision of a point mass falling on a bar (ex. 6.72 pag. 213 MSV)

• Elastic collision among three point masses

• Inclined bar falling down

• Point mass hitting a linear bar (Exam test)

 

Day 27/05/2016

• Ball hitting a bar (Exam test)

• Mass hitting body linked to a spring (Exam test)

• Bullett hitting a disk (Exam test)

 

Day 31/05/2016

• Bar linked to two springs and a body (Exam test)

• Cylinder linked to a spring moving on a plane (Exam test)

• Point mass hitting a circular ring (Exam test)

 

Day 08/06/2016

• Exam test

 

Day 05/07/2016

• Exam test

 

Day 22/07/2016

• Exam test

 

Day 09/09/2016

• Exam test

 

Day 22/09/2016

• Exam test