The Achilles tendon inserts on the calcaneus (heel bone) at a distance of 8 cm from the axis of the ankle joint. If the force generated by the muscles attached to the Achilles tendon is 3000 N, and the moment arm of this force about the ankle joint axis is 5 cm, what torque is created by these muscles about the ankle joint?
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The Achilles tendon inserts on the calcaneus (heel bone) at a distance of 8 cm from the axis of the ankle joint. If the force generated by the muscles attached to the Achilles tendon is 3000 N, and the moment arm of this force about the ankle joint axis is 5 cm, what torque is created by these muscles about the ankle joint?
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- Is the following statement true or false? Based on convention, a positive torque is the one that causes clockwise rotation; a negative torque is the one that causes counterclockwise rotation.A constant torque of -10 N m is applied to a bicycle wheel of mass 2 kg and radius 0.5 m. If the wheel is initially rotating at 200 rad/s, find the time it will take to stop the wheel. (Remember to correctly identify the moment of intertia for this particular shape. This will aid you in finding the angular acceleration.)If you and your friend are sitting on a seesaw and their masses are 60 kg and 80 kg, (a) how far you have to sit from the center of seesaw to balance it if your friend is sitting at 30 cm from the center on other side? (b) What are torques created by each of you? What are the directions of torque?
- A force F=(-5j+3k)N is applied to an object that is a distance r=(2j+6k)m from a pivot point. (a) Calculate the torque on the object.(b) Calculate the angle between r and F.You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed with your foot with a force of magnitude 10.0 N directed towards the center of the wheel, and the coefficient of friction between the wheel and your shoe is 0.462, what is the magnitude of the torque due to the friction?The Achilles tendon inserts on the calcaneus (the heel bone) at a distance of 8 cm from the axis of the ankle joint. If the force generated by the muscles attached to the Achilles tendon is 3000 N, and the moment arm of this force about the ankle joint is 5 cm, what torque is created by these muscles about the ankle joint? Hopefully it’s enough torque to move out of the way so the arrow doesn’t shoot through the tendon.
- A wheel accelerates with a constant angular acceleration of 2 rad/s2. If the initial angular velocity is 4.0 rad/s, (a) what is the angular velocity at t = 5.0 s? (b) What is the angle the wheel rotates through in 5.0 s? (c) If the torque added to the wheel is 15 Nm, what is the moment of inertia of this wheel?When tightening a bolt, you push perpendicularly on a wrench with a force of 150 N at a distance of 0.125 m from the center of the bolt. Part (a) How much torque are you exerting on the wrench, in newton meters, relative to the center of the bolt? Part (b) What is this torque, in pound-foot?An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)
- To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do? m²A 3.0-m rod is pivoted about its left end. A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a counter clockwise torque, and a force of 5.2 N is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 30° to the rod and causes a clockwise torque. What is the net torque about the pivot? A 15 N.m B 0 N.m -6.3 N.m -0.6 Nxm D