6. Intro to Forces (Dynamics)

Two point charges, $q=\mathrm{+1}$ C at $x=0$ m and $Q=\mathrm{+4}$ C at $x=10$ m, are fixed on the x-axis. At what point along the x-axis would a proton experience no net force?

When a $F$orce is applied to a rack in the direction shown, which of the following best describes the resulting motion of the rack in a rack and pinion mechanism?

A cantilevered beam is fixed at support A and subjected to external loads. Which of the following sets of support reactions must be present at point $A$ to maintain equilibrium?

Which of the following is a correct expression for the acceleration of the box in scenario 2?

What is the primary force that causes a falling skydiver to slow down after the parachute opens?

A force of magnitude $10$ N acts at an angle of $30°$ above the positive x-axis. What are the x and y components of this force?

A uniform rectangular gate of width $w$ and height $h$ is submerged vertically in water with its top edge at the water surface. What is the magnitude and direction of the force that must be applied horizontally at the bottom of the gate to keep it in equilibrium against the hydrostatic force of the water?

A boat is anchored in a river where the current exerts a force of $500N$ downstream. If the anchor rope makes an angle of $30°$ with the riverbed and holds the boat stationary, what is the magnitude and direction of the anchoring force exerted by the rope?

Which of the following best describes the shape of the shear force diagram for a simply supported beam of length $L$ subjected to a single concentrated load $P$ at its midpoint, following the standard sign convention (positive shear causes clockwise rotation of the segment on which it acts)?

Which of the following best describes the shape of the bending moment diagram for a simply supported beam subjected to a uniformly distributed load along its entire length?

A $20 \mathrm{kg}$ box is suspended at rest by a vertical strap. To what tension must the strap be adjusted to provide the necessary upward force to keep the box stationary? (Assume $g=9.8 m/s^2$.)

A particle moves along the x-axis under the influence of a force $F_x$ that varies with position as shown in the figure. Which of the following statements is correct about the work done by the force as the particle moves from $x=0$ to $x=5$ meters?

Two forces, $F_1$ and $F_2$, act on an object at angles ${\theta }_1$ and ${\theta }_2$ with respect to the x-axis. What is the x component of the resultant force?

Which of the following statements correctly describes the force diagram for an object at rest on a horizontal surface?

A girl with a weight of $200-N$ stands stationary on a weighing scale. What is the magnitude of the support force exerted by the scale on the girl?