A block is resting on an incline of slope 3:4. It is subjected to a force T=350 N on a slope of 5:12. Determine the x and y component of a force T and find the components of force T parallel and perpendicular to the incline.
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- Two forces act on a single point. The first force is 200N in the direction of S30◦W and the secondforce is 150N due east. Write each of these forces in vector form and then find the magnitude of theresultant vector.A block of mass mį = 4.00 kg is put on top of a block of mass mp = 7.00 kg. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 15.0 N must be applied to the top block. The assembly of blocks is now placed %3D on a horizontal, frictionless table (see the figure). Find the magnitudes of (a) the maximum horizontal force F that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks. (a) Number i Units (b) Number i Units >Three forces are applied to an object, as shown in the figure. Force ->F1 has amagnitude of 24.4 newtons (24.4 N) and is directed 30.0 degrees to the left of the (+) yaxis. Force ->F2 has a magnitude of 15.4 N and points along the (+) x axis. What mustbe the (a) magnitude and (b) direction (specified by the angle (theta) in the drawing) ofthe third force ->F3 such that the vector sum of the three forces is 0 N?
- Consider the 2 kN force and an unknown force FB representing the forces exerted by the tugboats as shown in the figure and that the vector sum/resultant (R) of these two forces is 3 kN с y |F₁ = 2 kN 30° FB A B directed purely along x. What gives the closest value of the angle of the force FB?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 <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 215 N, and Charles pulls with force F cof magnitude 181 N. Note that the direction of F cis 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 141° Betty (a) Number i Units (b) Number i Units
- Current 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?10. Ā = -2â + -3ŷ and B = -4â + -4ŷ. Calculate R = Ã+B. Calculate 0, the direction of R. Recall that 0 is defined as the angle with respect to the +x-axis. A. 49.4° B. 130.6° C. 229.4° D. 310.6°
- 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 >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 Oof magnitude 219 N, and Charles pulls with force of magnitude 176 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? C В Alex Charles 153° Betty (a) Number Units (b) Number Units > >Two ropes are attached to a tree, and forces of F ⃗ 1 = 2.0i ^ + 4.0j ^ N and F ⃗ 2 = 3.0i ^ + 6.0j ^ N are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.