**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 \( 0.077 \, \text{kg} \cdot \text{m}^2 \) (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 \( 3.1 \, \text{m/s} \) in \( 0.13 \, \text{s} \), starting from rest.**Diagram Description:**- The diagram illustrates a human forearm holding a dart.- The forearm rotates about an "Axis at elbow joint."- The distance from the axis to the dart is marked as \( 0.28 \, \text{m} \).- The perpendicular distance from the axis to the applied force \( \vec{M} \) is \( 0.025 \, \text{m} \). **Input Fields:**- Number: [________]- Units: [________]

initial velocity (u) = 0 m/s final velocity (v) = 3.1 m/s time (t) = 0.13 seconds

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 0.077 kg-m2 (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 3.1 m/s in 0.13 s, starting from rest. 0.28 m Axis at elbow joint 0.025 m Number i Units

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 0.077 kg-m2 (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 3.1 m/s in 0.13 s, starting from rest. 0.28 m Axis at elbow joint 0.025 m Number i Units

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 triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00×10^3 N with an effective perpendicular lever arm of 3.00 cm, producing an angular acceleration of the forearm of 120 rad/s^2. What is the moment of inertia of the boxer’s forearm?
What is the moment of inertia a 30 cm long and 3.0 cm wide ruler, with a mass of 50 g, around the axis passing through the geometric center. For how much does the moment of inertia change if we drill a hole in the ruler with a diameter of 1.0 cm, 5.0 cm from the end of the ruler? (The solutions are 3750 g×cm^2 and -44 g×cm^2 )
A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.73 kg. The moment of inertia of a disc is I =1/2MR^2 F1 = 2.3 N applied at the outer edge of the disc. F2 = 3.6 N applied at a distance of 0.29 from the center of the disc. What is the angular acceleration of the disc?
Four identical particles (mass of each = 0.40 kg) are placed at the vertices of a rectangle (2.0 m × 3.0 m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the mid-points of the longer sides and is parallel to the shorter sides? Group of answer choices 2.7 kg⋅m2 3.6 kg⋅m2 1.6 kg⋅m2 3.1 kg⋅m2 4.1 kg⋅m2
A figure skater has a moment of inertia of 0.33 kg-m2. He is spinning at 336.4 rpm. He extends his arms until he slows down to 74.3 rpm. What is his new moment of inerta (in kg-m2)?
A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. Suppose she produces an angular acceleration of 32.5 rad/s2 and her lower leg has a moment of inertia of 0.75 kg⋅m2 . What is the force, in newtons, exerted by the muscle if its effective perpendicular lever arm is 2.1 cm? F =
If you hold your arm outstretched with your palm upward, the force to keep your arm from falling comes from your deltoid muscle. Assume that the arm with hand has mass 4.25 kg and the distances and angles shown. What is the magnitude of the torque must the deltoid muscle provide to keep the arm in this position, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.