When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newton x meters (relative to the center of the bolt)? (b) Convert this torque to footpounds.

Mechanics sometimes put a length of pipe over the handle of a wrench when trying to remove a very tight bolt. How does this help? (It is also hazardous since it can break the bolt.)

When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. How much torque are you exerting relative to the center of the bolt?

Two children of mass 20 kg and 30 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3 m, at what distance from the pivot point is the small child sitting in order to maintain the balance?

A constant torque is applied to a rigid body whose moment of inertia is 4.0 kg-m² around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20.0 rad/s in 10.0 s, what is the applied torque?

A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume increases by 0.2%. Calculate the force exerted by the juice per square centimeter if its bulk modulus is

$$1.8 × 10^9 N/m^2,$$

assuming the bottle does not break.

Answer the following questions about torque. A pump handle has a pivot at (0, 0, 0) and extends to P(5, 0, -5). A force F=$\langle 1,0 , - 10 \rangle$ is applied at P. Find the magnitude and direction of the torque about the pivot.

The highest bridge in the world is the bridge over the Royal Gorge of the Arkansas River in Colorado. It is 1,053 ft above the water. If a rock is projected vertically upward from this bridge with an initial velocity of 64 ft/s, the height h of the object above the river at time t is described by the function

$$h(t)=-16 t^{2}+64 t+1,053$$

What is the maximum height possible for a rock projected vertically upward from the bridge with an initial velocity of 64 ft/s? After how many seconds does it reach that height?

A torque of $5.00 \times 10^3 \mathrm{~N} \cdot \mathrm{m}$ is required to raise a drawbridge (see the following figure). What is the tension necessary to produce this torque? Would it be easier to raise the drawbridge if the angle $\theta$ were larger or smaller?

When a wood shelf of mass $6.6 \mathrm{~kg}$ is fastened inside a slot in a vertical support as shown in Fig. 12-87, the support exerts a torque on the shelf. Calaculate the torque exerted by the support (about the left end of the shelf).

An 80-mm diameter solid circular shaft is made of an elastic-perfectly plastic material having a yield shear stress of $\tau_Y=125 \mathrm{MPa}$. Determine (a) the maximum elastic torque $T_Y$; and (b) the plastic torque $T_P$.

Zach invested $50 and tripled his money in two years. Kayla also invested$50, and after two years the amount was equal to 50 to the third power. Who had more money after two years? Explain.

Copper has a molar heat of fusion equal to 13$\mathrm{\dfrac{kJ}{mol}}$. What mass of copper releases 112.4 kJ of heat as it freezes?

What determines the directionality of energy transfer as heat?