6. Intro to Forces (Dynamics)

Two blocks, $m_1$ and $m_2$, are connected by a light cord and placed on a frictionless horizontal surface. A constant horizontal force $F$ is applied to $m_1$. What is the tension $T$ in the cord between the blocks?

A uniform horizontal beam is acted upon by two couples of equal magnitude but opposite sense at its ends. What is the net effect of these two couples on the beam?

Two blocks, A and B, with masses $m_A$ and $m_B$ respectively, are connected by a light, inextensible string and pulled horizontally on a frictionless surface by a force $F$ applied to block B. What is the tension $T_{AB}$ in the string between block A and block B?

Consider four identical crates, labeled A, B, C, and D, aligned in a row on a frictionless surface and connected by light ropes. A constant horizontal force $F$ is applied to crate D (the rightmost crate), pulling all crates to the right. Rank the ropes (Rope 1 between A and B, Rope 2 between B and C, Rope 3 between C and D) according to the magnitude of the force each exerts on the crate immediately to its left, from greatest to least.

When two resistors are connected in parallel, which of the following quantities must be the same for both resistors?

A crate hangs from a rope that is attached to a metal ring. If the crate is at rest and the rope is vertical, which of the following best describes the tension $T$ in the rope?

Which of the following forces acts within an atomic nucleus?

A uniform horizontal beam of length $L$ and mass $m$ is supported at its left end by a hinge and at its right end by a vertical cable. If the beam is in static equilibrium, what is the tension $T$ in the cable?

A $60 \mathrm{kg}$ mass is suspended in equilibrium by three cables: cable AB is attached horizontally to a wall, cable AC is attached at an angle of $45°$ above the horizontal, and cable AD is attached vertically upward. What are the tensions in cables AB, AC, and AD? (Assume $g=9.8 m/s^2$.)

In a system where three blocks of masses $m_1$, $m_2$, and $m_3$ are connected in a line by light ropes and pulled horizontally with a constant acceleration $a$ on a frictionless surface, what is the magnitude of the tension $T_3$ in the third rope (between $m_2$ and $m_3$)?

(II) One 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown in Fig. 4–41. If the buckets are at rest, what is the tension in each cord?

A uniform rod AB of length $L$ and mass $m$ is hinged at point A and held in a horizontal position by a light, inextensible cord attached at point C, which is vertically above A. If the system is in equilibrium, what is the tension in the cord AC?

A coffee cup on the horizontal dashboard of a car slides forward when the driver decelerates from 45 km/h to rest in 3.5 s or less, but not if she decelerates in a longer time. What is the coefficient of static friction between the cup and the dash? Assume the road and the dashboard are level (horizontal).