GA33PHY11 L3 Diploma (Engineering) Dynamics and Statics Assignment 1 Brief

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Q1. (Assessment Criteria 1.1,1.2,1.3,1.4)

A mass has the following three forces acting on it

Force 1 is 50 kN acting at -125 degrees.
Force 2 is 100 kN at 25 degrees. 
Force 3 is 150 kN at 90 degrees

All angles are measured from 0 degrees.

1. Draw to scale a vector diagram showing the known forces in the above system.
2. Resolve and tabulate each of the above vectors into X and Y components and find the resultant force.
3. Calculate the magnitude and direction of the force required to bring the system to equilibrium.
4. Explain the difference between a scalar and a vector.

Q2. (Assessment Criteria 2.1, 5.1,5.2)

•  State Newton’s Laws of motion.
• A mass of 1 kg is placed on a horizontal frictionless surface. The initial position and initial velocity of the mass is zero. A force of 2.0 N is applied to the mass for 1 second.

A second force of -4.0 N is then applied to bring the mass to a stop in a further 0.5 seconds.

Neatly sketch and label the force, acceleration velocity and position profiles of the mass over a time of 1.5 seconds.

• State the equation for work done and calculate the work done in moving the mass between the two positions.

Q3. (Assessment criteria 2.2)

A mass is launched at an initial velocity of 25 m/s and an angle of 40o.

a)      What is the maximum height reached by the object?

b)      What is the total flight time between launch and hitting the ground?

c)       Calculate the horizontal range of the mass.

d)      Obtain the magnitude of the velocity at an instant just before hitting the ground.

Q4. (Assessment Criteria 3.1, 3.2)

A simply supported beam has a span of L = 10 m. There is a load of 10kN situated 3 m from the right-hand end of the beam and a 15 kN load situated 2m from the left-hand end of the beam.

a)      Draw a free body diagram of the beam showing all the forces.

b)      Calculate the supporting reactions at the pillars.

c)       Sketch and label the bending moment and shear force diagrams.  

d)      Describe a real-life example of a uniformly distributed load

Q5. (Assessment Criteria 3.3)

1. Define the term centre of mass.
2. Find the Centre of mass of the uniform lamina ABCDE shown below. The shape is symmetric about a horizontal line through C.

Q6. (Assessment criteria 4.1, 4.2, 6.1,6.2)

a.  Define linear momentum and calculate the momentum of a mass of 10 kg travelling at 30 km/hour.

b. A stationary mass of 20g is struck by a mass of 75g moving at 10 m/s. Assuming the collision is perfectly elastic.

i)  Calculate the velocity of each mass after the impact?

Assuming the collision is perfectly inelastic

ii) Calculate the kinetic energy before and after the collision.

c. Give the definition of an impulsive force.

Grade Descriptor 1

Knowledge & Understanding

The student, student’s work or performance:

a. Generally, demonstrates the ability to apply knowledge appropriately in a given context showing breadth of knowledge in responding to the demands of the unit, with

b. A very good understanding and use of

• Facts
•  Concepts
• Principles

The student, student’s work or performance:

a.    Consistently demonstrates the ability to apply knowledge appropriately in a given context showing breadth of knowledge in responding to the demands of the unit, with

b.  An excellent understanding and use of

• Facts
• Concepts
• Practices

The student, student’s work or performance:

a. Generally demonstrates an ability in selecting and using skills as required by the unit, with

b.  Very good levels of

• Accuracy
• Precision
• Interpretation

The student, student’s work or performance:

a.    Consistently demonstrates an ability in selecting and using skills as required by the unit with

b.    Excellent levels of

• Accuracy
• Precision
• interpretation

The student, student’s work or performance:

a. Demonstrates very good communication and/or presentation skills evidenced by the use and/or selection of

A very good understanding and use of Format

• Grammar
• Digital software

b. Demonstrates autonomy and/or independence evidenced by a very good ability to

• Plan and organise and complete work
• Manage time
• Take responsibility for own contributions

Generally, adheres to academic and professional conventions in use of technical language and format in responding to the instructions set out in the assignment brief.

The student, student’s work or performance:

a. Demonstrates very good communication and/or presentation skills evidenced by the use and/or selection of mAn excellent understanding and use of

• Format
• Grammar
• Digital software

b. Demonstrates autonomy and/or independence evidenced by an excellent ability to

• Plan and organise complete work
• Manage time
• Take responsibility for complete work

c. Consistently adheres to academic and professional conventions in use of technical language and format in responding to the instructions set out in the assignment brief.