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- A professional athlete tears their Achilles tendon. There are two muscles in the back of the leg that pull upward on the Achilles tendon, as shown in the image below. (The Achilles tendon is the gray part above the heel) F₂ (250 N) F, (250 N) (a) Using information from the image above, what is the magnitude of the total force on the Achilles tendon? Number (b) What is the direction of the force on the Achilles tendon in the image? Up Down Left 20% 20° Rightarrow_forwardThe steel plate with a squared shape as shown below has a mass of 1500 kg and is suspendedhorizontally from point D by cables attached to points A, B, and C. Point "D" is located directly abovepoint G (the center of gravity of the plate) at a distance of 2400 mm. Determine the magnitude of thetensions in the cables AD, BD, and CD. Express the forces vectorially in terms of the unit vectors i, j, k.arrow_forwardAs shown in the figure below, the upper leg muscle (quadriceps) exerts a force which is carried by a tendon over the kneecap (the patella) at the angles given in the figure. If the force supplied by the upper muscle is 2000 N, determine the magnitude and direction of the force exerted by the kneecap on the upper leg bone (the femur). magnitude |N |° counterclockwise from an axis directed to the left direction 58° 72arrow_forward
- A spider is hanging from silk strands, as shown in the figure. The force of gravity on the spider is 0.161 N and is directed downward, and the two tension forces are directed as shown, so that the resultant force on the intersection point of the three strands is zero. The angle between the strands with tensions Tx and Ty is 90°, and Tx = 0.135 N. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is T, (in N)? N (b) What is the angle between the x-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.) (c) What is the angle between the y-axis in the figure and the horizontal? (Enter the smallest positive angle in degrees.)arrow_forwardConsider a traffic light suspended from two wires as shown in the figure below. The left wire makes an angle e = 37.4° below the horizontal with the top of its pole and carries a tension of 121 N. The 11.5 m tall hollow aluminum pole is equivalent in stiffness to a 4.25 cm diameter solid cylinder. (a) How far (in m) is it bent to the side? (b) By how much (in m) is it compressed? Marrow_forwardWhen doing barbell curls, people perceive that it is easier to hold the barbell in a flexed elbow position (e.g., 45° elbow angle) than holding it at an elbow position of 90° elbow angle. Is it really true that holding a weight at the flexed position requires less muscle force? Provide a brief but concise biomechanical reasoning for your answer. (Assume the upper arm is straight in the vertical). The angle of attachment λ is indicated for each posture (λ1 < λ2).arrow_forward
- A sphere of mass m= 2kg is in equilibrium tied to two strings as indicated in the figure. Find the tension T and the angle A of the rope hanging from the ceiling if the tension of the rope attached to the side wall is T = 4N. Consider g= 10m / s2.arrow_forwardpls write clearlyarrow_forwardFIGURE 1 shows a horizontal human arm lifting a dumbbell. The forearm is in equilibrium under the action of the weight W of the dumbbell, the tension T in the tendon connected to the biceps muscle, and the force E exerted on the forearm itself. (For clarity, the point A where the tendon is attached is drawn farther from the elbow than its actual position) Given the weight of the forearm is 20 N and the mass of the dumbbell is 20 kg. The angle between the tension force and the horizontal, ? is 80°. The length of the horizontal arm is 0.30 m. The horizontal distance between elbow pivot and point A is 0.050 m. Find T and the vector E and draw free body diagram for this case.arrow_forward
- The block shown in (Figure 1) has a mass of m = 100 kg, a height H = 1.4 m, and width L = 2 m. It is resting on a ramp that makes an angle = 38 ° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μ = 0.38, and the center of mass of the block is at the center of the rectangle. Figure Att P H ( y N F x 2 of 2 Part D Use the free-body diagram shown in (Figure 2) and write the equilibrium equation for the moments about the point of contact. Express your answer in terms of one or more of P, W, H, L, N, F, and 0. Σ Μo = 0 = Submit Part E Ptip= Submit Part F What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip? Express your answer to three significant figures with appropriate units. CHA Pmax = IVE ΑΣΦΠ 1 Submit Request Answer Value Provide Feedback Request…arrow_forwardA bag of cement whose weight is Fg hangs in equilibrium from threewires as shown. Two of the wires make angles θ1 and θ2 with the horizontal. Assuming the system is in equilibrium, show that the tension in the left-hand wire is T1 = (Fg cos θ2)/(sin (θ1 + θ2))arrow_forwardProblem 1: A meter stick has mass m = .2 kg (distributed uniformly along its length) and a length of (of course) 1 meter. The stick is placed simultaneously on two weight scales: one at the 20 cm mark (with 0 cm at the far left end of the stick), the other at the 70 cm mark, with no other supports or weights. Remember that a weight scale supplies an upward force, equal to the reading on the scale. Calculate the reading on both scales. Call the reading on the left scale (at 20 cm) FL, and the reading on the right scale (at 70 cm) FR. 20 cm 70 cmarrow_forward
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