For case A of spin-the-bottle, calculate the magnitude of the torque. Assume that the applied force is 79.0 N and the size of the grid spacing is 3.50 cm.
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- As a swimmer pulls his arm through the water, various muscles exert forces on the upper arm. The figure below shows a force F exerted on the humerus (upper arm bone) by the pectoral muscle. The muscle is connected to the bone d = 7.10 cm from the center point O of the shoulder joint. Find the magnitude of F, if this force's torque on the arm provides half of the total torque balancing the torque produced by the water pushing against the hand. (Let Fhand = 108 and D = 33.0 cm. ) please solve thank youYou 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?A picture frame is hanging out from a wall as shown. You choose the origin to be where the picture frame touches the wall and counter-clockwise to be the positive torque direction. If the tension in the string between the wall and the picture frame is Twp = 67.3 N, theta = 121.6 degrees, h = 0.47 m, and phi = 14.8 degrees, what is the torque about the origin due to the tension in the string on the picture frame?
- Force F = (-7.0 N)î + (5.0 N) ĵ acts on a particle with position vector7 = (4.0 m)î + (5.0 m) ĵ. (a) What is the torque on the particle about the origin, in unit-vector notation? = N: m (b) What is the angle between the directions of r and Torque is the cross product of a position vector (extending from a chosen point, here the origin, to the particle) and a force vector. Did you take the cross product in unit-vector notation? Do you remember how find the angle between two vectors by taking a dot product in both unit-vector notation and also in magnitude-angle notation? (You can similarly use a cross product to do this.) Do you remember how to find the magnitude of a vector from its components?For case A of spin-the-bottle, calculate the magnitude of the torque. Assume that the applied force is 70.0 N and the size of the grid spacing is 3.20 cm. [Answer in units of Newton metres (Nm) with 3 sig figs but do not enter units with your answer]A man in a gym is holding an 8.0-kg kettlebell at arm's length, a distance of 0.55 m from his shoulder joint. What is the torque about his shoulder joint due to the gravitational force on the kettlebell if his arm is held at 30° below the horizontal?
- A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². стAs a swimmer pulls his arm through the water, various muscles exert forces on the upper arm. The figure below shows a force F exerted on the humerus (upper arm bone) by the pectoral muscle. The muscle is connected to the bone d = 7.30 cm from the center point O of the shoulder joint. Find the magnitude of F, if this force's torque on the arm provides half of the total torque balancing the torque produced by the water pushing against the hand. (Let Fhand = 119and D = 33.0 cm. )