A force is exerted on a point in a body (not shown).j Calculate the torque due to the force, and answer the z-component in Nm. F = (4,9) N • r = (-9,1) m %3D F r

The disk starts at wo = 2 rad/s when 0 = 0, and is given an angular acceleration a = (0.30) rad/s², where is in radians. (Figure 1) Figure 0.4 m P 1 of 1 Part A Determine the magnitude of the normal component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. an = LUI Part B xa 20.5 Submit μA xa at = 1.51 Xb Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback مرات b Determine the magnitude of the tangential component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. μA Xb X.10n m a b ? m X.10n X X Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining

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a.) A tension force, T, of magnitude 5.0 N is applied to the end of a bar at a distance r = 1.5 m from the axis of rotation O (represented by the black dot). The angle between the force and the distance vector, θ=25o. Calculate the magnitude and direction of the torque vector.   b.) In the previous problem, let’s make some changes.  The bar is now a different length and reoriented within 3-D space such that the r is a vector that has components (3,2,0) in the xyz coordinate frame, and F is a vector with components (4,5,0). What is the torque exerted on the rigid body about a pivot located at the origin? Express your answer in i, j, k, components.  Assume all distances are represented in meters and forces in newtons.

A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 80.0 complete rotations. Assuming the frictional torque remains constant, how much more time Δ?s will it take the bike wheel to come to a complete stop?

In this problem you will be given pictures of two vectors, r and F. Based on these two vectors you should determine the direction of the torque, T = r x F. Possible answers include left, right, up, down, in, out. What is the direction of the torque vector? Submit Answer Tries 0/2 What is the direction of the torque vector? Submit Answer Tries 0/2 What is the direction of the torque vector? 15

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 3.8 kg, with the center of mass at 40% of the arm length from the shoulder.   a. What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight out to his side, parallel to the floor?  b. What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight, but 45∘ below horizontal?

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A pipe system consists of three pipes with lengths L1 = 1.95 m, L2 = 0.500 m, and L3 = 2.90 m. A plumber pulls on the end of the pipe system, at the point P, with a force Fp = -23.0 Ni+ 42.0 Nj + 32.0 Nk. Po What is the torque 7 due to about the origin? Enter your expression using ijk unit vector notation. N-m

As noted in the text, the scalar product between two vectors A and B can be calculated using trigonometry as: Ả B = \Ä||B| cos 0 and the vector product as: ẢxB = |Ã||B| sin 0 fA In words, the scalar product between vectors A and B is the product of their magnitudes and the cosine of the angle between them. The vector product between vectors A and B is the product of their magnitudes and the sine of the angle between them. The direction of the resulting vector is perpendicular to the plane containing the vectors, with the sign of the vector following the right- hand rule. The right-hand rule is as follows: begin at vector A and curl the fingers of your right hand toward vector B. The direction of your thumb is the direction of the resulting vector. In the traditional sense, the positive direction is above a horizontal plane and the negative direction is below it. These quantities can also be calculated if the vectors are expressed in (i,j,k) notation. If A = Ayî + Ayƒ + A,k and B = B,1…