Q) A simplified model as shown in figure below of a planar robotic arm. You may assume that each segment has length 1.5 m, and the applied force is 250 N. 01: 35° and 02 = 03 = 20°. %3D %3D %3D Calculate the moment that the force, F, exerts about the point A. F

a.) In the following free body diagram of the knee and lower leg, draw the moment arm (dw) for the weight force (Fwt) and the moment arm (dm) of the muscle force (Fm).   b.) What are the directions of each torque caused by these forces.

1) Choose the three "bridge" equations between translational quantities and rotational quantities from the list below.   A. Δx = RΔθ   B. vt = Rat   C. at = Rα   D. at = R/α   E. ω = Rθ   F. vt = Rω 2) Match the following angular velocity              A.I, kg·m2     angular displacement        B.Δθ angular acceleration          C.½Iω2 moment of inertia              D.α tangential velocity              E.ΣΤ = Iα tangential acceleration      F.Iω = mvR centripetal acceleration      G.Rω arc length                         H.w rotational kinetic energy  I.RΔθ angular momentum            J.Rω2 Newton's 2nd Law of Rotation        K.Rα 3) For a body to be in static equilibrium, what two equations must be solved together?   A. mechanical energy = 0 and net force = 0   B. net torque = 0 and net work = 0   C. net force = 0 and net torque = 0   D. net work = 0 and net force = 0 4)From Newton's Law of Gravitation, the quantity…

5. A child riding a merry-go-round that rotates with constant angular speed (radius r = 5.0 m) can hold onto the handle with a maximum grip force of FG = 0.01 N. The child has a mass of 40.0 kg. a. Draw a free-body diagram for the child and indicate the direction of their acceleration. b. Calculate the maximum linear speed of the edge of the merry-go-round that the child can withstand before falling off.

Homework Q5.

4. The position vector of a particle that lies in the xy plane and is given by r = (5.0î - 3.0ĵ)m. A force is applied to the particle. F = 10 NÊ. Determine the torque vector.

Figure m₁ L Rod of mass M AL AL 1 of 1 m2 Rotation axis Part A Determine the moment of inertia about the axis of the object shown in the figure (Figure 1). Enter your answer in terms of L, M, m₁, and m2. VD ΑΣΦ Submit Provide Feedback Request Answer ?

A block of mass m hangs from a string.  The string is wound around a heavy wheel of mass mw and radius R. The moment of inertia of the wheel is I = mw R2  The wheel will not move horizontally or vertically, but is free to rotate without friction about its axis. The string does not slip.  This question has no numbers!  a) Draw free body diagrams for both the block and the wheel. Write Newton’s 2nd Law for each.  b) What is the relationship between the acceleration of the block (a) and the angular acceleration of the wheel (α)?  c) Use your results from part a) and b) to find the tension in the string.    Please write your answers in terms of the given variables (m, mw, R, and g) only.  The Earth rotates around its axis once per day. For now, the mass of the polar ice caps is located near the North and South poles. If the ice caps were to melt, this mass would move closer to the equator. EXAM  d) Would melting ice caps cause the length of the day to get longer, shorter, or stay the…

A A wooden plank is placed on top of two identical, solid, parallel cylindrical rollers, as shown in the figure below. The plank has a mass of M= 5.40 kg, and the rollers each have a mass of m= 2.00 kg and a radius of R = 6.00 cm. The plank is pulled by a constant horizontal force F of magnitude 7.20 N applied to the end of the plank and perpendicular to the axes of the cylindrical rollers. The cylinders roll without slipping on a flat surface, and there is also no slipping between the cylinders and the plank. At the instant shown in the figure, the rollers are equidistant from the ends of the plank. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is the magnitude (in m/s2) and direction of acceleration of the plank at the instant shown? m/s² magnitude direction --Select--- (b) What is the magnitude (in m/s2) and direction of acceleration of the centers of mass of the rollers at this…

You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 39 N·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench. N