Determine the mass of A required to keep the system in equilibrium if block B has a mass of 30 kg? Consider the gravitational acceleration to be g=9.8 m/s². Provide your answer in kg to 4 decimal places.

Determine the mechanical advantage of the following pulley system. The mechanical advantage here is defined as the weight of A divided by the force at B.

Determine the mass of the block required to keep the system in equilibrium if F is 500 N. Consider the gravitational acceleration to be g=9.8 m/s². Provide your answer in kg to 4 decimal places.

Consider the following structure and determine the resultant force (in N) acting at point O to 4 decimal places.

Two forces are applied to the construction bracket as shown. Determine the angle θ (in degrees) to 4 decimal places which makes the resultant of the two forces completely vertical.

Which of the following statements is false for the figure below?

Which of the following equations represents the resultant vector of two forces F_1 and F_2 acting at an angle \theta apart starting from the same origin? i.e. calculate F1 + F2. Refer to the image below for an illustration. Remember that when adding vectors, the tail of one vector needs to connect to the head of another.

Match the following dimensions with the correct terms

Problem 1

The coordinate y is described by the following differential equation where t represents the time:

Which of the following dimensions represents the A coefficient assuming that the equation is dimensionally homogeneous.