Please clearly label a blank piece of paper with Question 5 and write your response to the above question on the paper and upload below.

The following diagram shows a mass of m kg, undergoing tension forces T₁ and T₂ (N) from two cables. The mass is attached to the floor via a spring that has a spring constant k (N/m), which is undergoing a displacement of D (m).

What are the equations of motion in the x and y directions (respectively)? Note: a_x and a_y are the acceleration in ms^-2 in x and y directions, respectively.

Please clearly label a blank piece of paper with Question 3 and write your response to the above question on the paper and upload below.

A mass of weight 19.3 kg is held directly above a linear spring that has a spring constant of 1.6 kN/m. The spring is 50 cm long and attached to the ground at its bottom. The spring is initially in its relaxed position (x=0).

The mass is then released, and the system begins to oscillate. What is the furthest vertical distance down that the mass will travel?

You may assume that no energy is lost during the compression of the spring. Give your answer in cm to at least 3 significant figures.

The following diagram shows a mass of m kg, undergoing tension forces T₁ and T₂ (N) from two cables. The mass is attached to the floor via a spring that has a spring constant k (N/m), which is undergoing a displacement of D (m).

What are the equations of motion in the x and y directions (respectively)? Note: a_x and a_y are the acceleration in ms^-2 in x and y directions, respectively.

A mass of weight 12.9 kg is held directly above a linear spring that has a spring constant of 3.9 kN/m. The spring is 50 cm long and attached to the ground at its bottom. The spring is initially in its relaxed position (x=0).

The mass is then released, and the system begins to oscillate. What is the furthest vertical distance down that the mass will travel?

You may assume that no energy is lost during the compression of the spring. Give your answer in cm to at least 3 significant figures.

The following diagram shows a mass of m kg, undergoing tension forces T₁ and T₂ (N) from two cables. The mass is attached to the floor via a spring that has a spring constant k (N/m), which is undergoing a displacement of D (m).

What are the equations of motion in the x and y directions (respectively)? Note: a_x and a_y are the acceleration in ms^-2 in x and y directions, respectively.

A mass of weight 15.2 kg is held directly above a linear spring that has a spring constant of 2 kN/m. The spring is 50 cm long and attached to the ground at its bottom. The spring is initially in its relaxed position (x=0).

The mass is then released, and the system begins to oscillate. What is the furthest vertical distance down that the mass will travel?

You may assume that no energy is lost during the compression of the spring. Give your answer in cm to at least 3 significant figures.

The following diagram shows a mass of m kg, undergoing tension forces T₁ and T₂ (N) from two cables. The mass is attached to the floor via a spring that has a spring constant k (N/m), which is undergoing a displacement of D (m).

What are the equations of motion in the x and y directions (respectively)? Note: a_x and a_y are the acceleration in ms^-2 in x and y directions, respectively.

The shaft of a turbine has a moment of inertia of 12 kg m² about its centre, while each of the three turbine blades has a moment of inertia of 2 kg m², relative to the centre of rotation of the turbine. What torque must be applied to the turbine to achieve an angular acceleration of 2 rad/sec²?

Give your answer in N.m to at least 2 significant figures