When the time-varying force F = tî + ĵ (N) acts on an object of mass m = 2 (kg) that is at rest at the origin at t= 0, find the torque vector acting on the object at =1 (s).
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- 1 Force F = (7.26 N )i^— (7.05 N )ê acts on a pebble with position vector ☞ = (5.76 m )j^– (3.10 m), relative to the origin. What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (5.00 m, 0, -5.54 m)? - Your answer is partially correct. (a) Number www (b) Number Hint eTextbook and Media Save for Later -40.608 52 -40.608 80 F3 Q F4 + + JUL 2 i 22.51 9 F5 -18.26 tv MacBook Air C F6 + ← F7 -41.817 -41.82 ST DII F8 k Units N-m Attempts: 2 of 4 used A kUnits F9 N-m Submit Answer A F10 + # F11If the pole makes an angle of 25° with the horizontal, the distance between the point where the line is attached to the pole and the anglers hand is L = 2.45 m, and the fish pulls on the line such that the tension in the line is T = 166 N at an angle 35.0° below the horizontal, determine the magnitude (in N · m) of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand.In the figure, two blocks, of mass m1 = 257 g and m2 = 337 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 492 g and radius R = 10.1 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. M R T2 (a) Number i 0.095238 Units m/s^2 (b) Number Units (c) Number i Units
- A child's top is held in place upright on a frictionless surface. The axle has a radius of r 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R SP 9.15 x10¬3 kg-m² L = S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T 2r T 2.42 x10-4 kg-m? = IncorrectA fisherman is fishing with a pole that makes an angle of 20.0° above the horizontal. The distance from the person's hand to the tip of the pole is L = 1.85 m. A fish is on the line, and it pulls the line with a force of F = 116 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the person's hand?The uniform disk of mass m is rotating with an angular velocity of v0 when it is placed on the floor. Determine the initial angular acceleration of the disk and the acceleration of its mass center. The coefficient of kinetic friction between the disk and the floor is μk.
- Please help meThe string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.The mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.In the figure, two blocks, of mass m₁ = 289 g and m₂ = 362 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 533 g and radius R = 11.3 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T₁ in the cord at the left and (c) the tension T₂ in the cord at the right. M (a) Number i (b) Number (c) Number i Units Units Units 081 R Ng
- A uniform thin rod of mass m = 3.7 kg and length L = 1.4 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 3.5 N, F3 = 15 N and F4 = 16.5 N. F2 acts a distance d = 0.22 m from the center of mass. Calculate the magnitude τ1 of the torque due to force F1, in newton meters. Calculate the magnitude τ2 of the torque due to force F2 in newton meters. Calculate the magnitude τ3 of the torque due to force F3 in newton meters. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its edge. What is the magnitude of the force (assume it to be constant) on the rope needed to bring the merry- go-round from rest to an angular speed of 0.400 rev/s in 3.00 s? (The moment of inertia of merry-go- round is 1/2MR2).Bob pulls with a force F = (2.1)i− (4.0)j on an apple. The apple has a position vector r = (5.5)i+ (8.3)i relative to the origin at the base of the tree. What are the magnitude and direction of the torque about the origin?