Two forces, I and Q, act on a sled, as shown. Find the resultant force R of these two forces, expressing the answer in magnitude/ direction form.
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- In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 207 N, and Charles pulls with force Fc of magnitude 188 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 142° Alex Charles Betty (a) Number i (b) Number i Units Units <The figure shows an overhead view of a 0.022 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F, has a magnitude of 8 N and is at 0₁-32. Force has a magnitude of 9 N and is at 02-25°. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity=(141 - 113) m/s, and (c) has the 7 = (10ri - 11r)) m/s², where t is time? (a) Number 1 (b) Number i (c) Number i i+ i + H F KO 0 P F₂ X j Units j Units j Units >Compute the resultant of the concurrent forces shown in N. P1 = 265 N, P2= 303 N, P3 = 455 N, P4 = 192 N, 01 = 21, 02= 25, and 03= 10. Write numerical value only in 2 decimal places. P1 P4 03 8₂ + Y 0₁ P3 P2 + X
- Three people are pulling a heavy object along the floor with forces A, B and C as shown in the figure. What is the resultant (i.e. suml of the three forces? The forces are given by (all angles are CCW from + x-axis): A = magnitude 20 N, direction 30º. B = magnitude 40 N, direction 140°. C= magnitude 30 N, direction 240º. в А х-ахisCurrent Attempt in Progress In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 218 N, and Charles pulls with force Fcc magnitude 175 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 150° Alex (a) Number (b) Number Charles Betty Units Units 2A block of mass M1 = 3 kg rests on top of another block of mass M2 = 5 kg. As shown in the figure, the top block is connected by a cord to a wall at left. The bottom block rests on a frictionless inclined plane of angle theta = 20o and has a force F applied to it down the plane. If the minimum force for which the bottom block will begin to slide has magnitude F = 2.5 N, what is the coefficient of static friction (us) between the two blocks?
- Find the magnitude and direction of the following concurrent forces A= (10.0i + 9.0j), B = (-15.0i - 8.0j) and C = F = (-15.0i + 10.0j).In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 145° Betty (a) Number i Units (b) Number i Units >Crates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface. Write an expression for the ratio fo the normal forces, A to B in terms of theta?
- (Problem 3: A horizontal force, F1 = 55 N, and a force, F2 = 16.3 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.6 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Question: Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. and, Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.Two tug boats pull a barge directly against the current of the river. The tow ropes from the tugs are at an angle of 37° to each other; the forces exerted by the tugs along the ropes ate both 4200 N. If the current produces a force of 45 N, what is the force with which the barge is pulled forward?In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force É A of magnitude 222 N, and Charles pulls with force magnitude 188 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the c of direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 140° Betty (a) Number i Units (b) Number i Units