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 0.068 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 4.6 m/s in 0.10 s, starting from rest.
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- Torque You are playing with the masking tape that came in your lab box. This tape has a thickness that is not small compared to the radius. You measure it and it has an outer radius of 6.40 cm and an inner radius of 3.95 cm. You weigh the tape roll and find that it has a mass of 79.5 g. Now you roll the tape like you would a hoop (Rolling tape 1 (00:05)). The video illustrates the idea of the motion - please do NOT use it for numerical values. You find that the tape starts from rest, and has a torque applied when you push on it with your finger. You push on the outer edge (perpendicular to the radial direction). This causes the tape to accelerate. After 0.75 seconds, you find that the tape has an angular velocity of 53.0 rpm (rotations / minute). What is the Force you applied to the tape to start the rotation? Your answer should have the following: 2 Decimal Places Correct SI Units Appropriate Signs for Vector quantity answers Answers must be in the following format: Written out and…In a physics lab, Asha is given a 10.1 kg uniform rectangular plate with edge lengths 63.7 cm by 54.7 cm. Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .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
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- A Bicycle tire has a radius of .4m and a mass of 2.2 kg. What is the moment of inertia for the bicycle tire? The bicycle completes 4.5 rotations in 2.8 seconds. What is the magnitude of the kinetic energy in the tire?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 UnitsAn approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk's center, as in the figure below. The disk has mass 2.30 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.840 m long. HINT (a) Find the ceiling fan's moment of inertia about a vertical axis through the disk's center. (Enter your answer in kg. m².) kg - m² (b) Friction exerts a constant torque of magnitude 0.113 Nm on the fan as it rotates. Find the magnitude of the constant torque provided by the fan's motor if the fan starts from rest and takes 15.0 s and 16.5 full revolutions to reach its maximum speed. (Enter your answer in N. m.) N.m
- The figure above shows two barbells, which can be modeled as two point masses connected by a massless rod. In the figure, L = 0.77 m and m = 20.1 kg. The barbells can rotate about an axis that is perpendicular to the rod and passes through the midpoint of each rod. For the barbell with the larger moment of inertia, give the moment of inertia (in units of kg m2).Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be frictionless, but the coefficient of friction between the block and the surface is 0.36. What is the acceleration of the blocks? Assume the 24 kg mass is descending with acceleration a. The moment of inertia of the disk is 1/2MR2 and the acceleration of gravity is 9.8 m/s2.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