6. Intro to Forces (Dynamics)

Three $50\bullet \mathrm{kg}$ blocks are connected in a row by two ropes on a frictionless horizontal surface and are at rest. What is the tension in rope $2$, which connects the second and third blocks?

Two solid cylinders AB and BC are bonded together to form a single rigid body. If a force $F$ is applied horizontally to the free end of cylinder AB while the other end of cylinder BC is fixed, what is the net force experienced at the interface between the two cylinders?

In a system where two blocks, $A$ and $B$, are connected by a light, inextensible string over a frictionless pulley, what happens when block $B$ moves downward?

A block of mass $m_a$ is connected by a light string over a frictionless pulley to a block of mass $m_b$ resting on a horizontal surface with coefficient of static friction ${\mu }_s$. What is the maximum mass of block $a$ for which the system remains in static equilibrium?

In a parallel circuit with two resistors of $15$ ohms and $40$ ohms, what is the total resistance of the circuit?

A $3000\mathrm{kg}$ truck is parked on a $7.0°$ slope. What is the magnitude of the friction force acting on the truck?

When using a spanner wrench whose two ends fit loosely into the smooth slots of a bolt head (as shown in Figure 1), which of the following best describes the type of force the wrench applies to the bolt head?

Consider a simple truss consisting of three members forming a right triangle: member AB is horizontal, member AC is vertical, and member BC is the hypotenuse. A load of $1000N$ is applied downward at joint C. The truss is supported at A (pin) and B (roller). Which statement correctly describes the forces in members AB, AC, and BC, and whether each is in tension or compression?

A traffic light weighing $2.00\times 102^1$ N is suspended symmetrically by three cables: two cables make equal angles of $30°$ with the horizontal on either side, and the third cable is vertical. What is the tension in each of the two angled cables?

In a parallel circuit, what happens to the total current supplied by the source when an additional branch is added?

Three masses are connected by massless, rigid rods and placed on a frictionless horizontal surface. If a constant force $F$ is applied to the leftmost mass, what is the acceleration $a$ of the entire system if the total mass is $M$?

When replacing a system of forces and moments acting on a rigid body with an equivalent system at point $O$, what does the equivalent system consist of?

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string and placed on a frictionless horizontal surface. If a constant force $F$ is applied to $m_1$ in the direction of the string, what is the tension $T$ in the string between the blocks?

In a system where two pulleys are connected to reverse the rotation of a motor, which of the following connection methods will achieve this reversal of rotation direction?

A horizontal beam consists of two segments, AB and BC, joined by a pin at point B. If a downward force $F$ is applied at point C and the beam is supported at point A, what is the primary function of the pin connection at B?