**Multiple-Concept Example 10** reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force \(\vec{M}\) applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.067 kg·m\(^2\) (including the effect of the dart) relative to the axis at the elbow. Assume also that the force \(\vec{M}\) acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force \(\vec{M}\) needed to give the dart a tangential speed of 5.3 m/s in 0.10 s, starting from rest.**Diagram Explanation:**The diagram illustrates a human forearm holding a dart. The forearm rotates about an axis at the elbow joint, indicated as "Axis at elbow joint." The dimensions given are 0.28 meters from the elbow to the dart and 0.025 meters from the axis to the point where force \(\vec{M}\) is applied by the triceps muscle.**Interactive Section:**- **Number:** [Input Box]- **Units:** [Dropdown Menu] The image presents a physics problem about rotational dynamics. It describes a scenario with two uniform, identical doors viewed from the top. Door A rotates about an axis through its left edge, and Door B rotates about an axis through its center. A force, denoted as \(\vec{F}\), is applied perpendicularly to each door at its right edge, and remains perpendicular as the doors turn. No other forces influence the rotation.The problem specifies that, starting from rest, Door A rotates through a certain angle in 2.10 seconds. The question asks how long it will take Door B, also starting from rest, to rotate through the same angle.Below the description, there is an interactive field to input the answer:- A text box labeled "Number" for the numerical answer.- A dropdown menu labeled "Units" for selecting the appropriate unit of time.The accompanying diagram shows:- Door A with the axis on the left and the force \(\vec{F}\) applied on the right side.- Door B with the axis in the center and the force \(\vec{F}\) similarly applied on the right side.

For the dart u=0 (initial velocity) v=5.3 m/s (final velocity) t=0.10 s (time) From 1st equation of…

Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a nodel for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can otate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.067 kg⋅m² (including the effect of the dart) relative to the axis at the elbow. Assume also that the force Macts perpendicular to the orearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a angential speed of 5.3 m/s in 0.10 s, starting from rest.

Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a nodel for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can otate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.067 kg⋅m² (including the effect of the dart) relative to the axis at the elbow. Assume also that the force Macts perpendicular to the orearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a angential speed of 5.3 m/s in 0.10 s, starting from rest.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.156 m and mass 4.32 kg, and two thin crossed rods of mass 7.80 kg each. A farmer would like to replace his wheels with uniform disks = 0.0525 m thick, made out of a material with a density of 5990 kg per cubic meter. If the new wheel is to have the same ta %3D moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? = PA rd
What is the moment of inertia of a 1.0-m long stick with mass of 2.0kg if it is rotated along the axis in the midpoint of the stick?
Multiple-Concept Example 10 reviews the approach and some of the concepts that are pertinent to this problem. The figure shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the figure and a moment of inertia of 0.062 kg-m? (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 4.5 m/s in 0.14 s, starting from rest. 0.28 m Axis at elbow joint 0.025 m Number i Units
This problem describes one experimental method for determining the moment of inertia of an irregularly shaped object such as the payload for a satellite. Figure P10.47 shows a counterweight of mass m suspended by a cord wound around a spool of radius r, forming part of a turntable supporting the object. The turntable can rotate without friction. When the counterweight is released from rest, it descends through a distance h, acquiring a speed v. Show that the moment of inertia I of the rotating apparatus (including the turntable) is mr2((2gh)/v2) – 1)
The object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?
I was wondering if I could have some guidance on a homework question. I was unable to find help, so I would just like some tips that point me in the right direction. Here is some background info: Setup For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of…
The moment of inertia of the lower leg and foot about an axis through the knee joint is 0.23 kgm^2. What is the moment of inertia of the leg and foot about the knee joint if a 0.82 kg shoe is worn on the foot? Assume that the shoe's mass is all concentrated in one point 40 cm from the knee. (please report to two decimal places)
Find the moment of inertia (lyY) of the given lamina about Y-Y axis passing through its centroid, where b1=108 mm, d1=34 mm, b2= 58 mm & d2=80mm. (enter only the values in the boxes by referring the units given in bracket) b2 d2 d1 b1
I need help.
Please don't provide handwritten solution ....
Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R = 2.58 m. Disk 1 has a moment of inertia I1 = 9.8 kg⋅m2. Disk 2 has a moment of inertia I2 = 5 kg⋅ m2. Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ω1,z = 21 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω2,z = -15 rad/s. The z component of their common angular velcoity is 8.837 rad/s How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small. I get I need to use kinetic energy equations of 1/2*I*w2 but…
A large turntable rotates about a fixed vertical axis, making one revolution in 5.50s. A child of mass 32.0 kg, initially standing at the center of the turntable, runsout along a radius. When the child is 2.10 m from the center, the turntable makesone revolution in 6.70 s. What is the moment of inertia of the turntable? Note thatyou can treat the child as a point particle.