A force is applied to two blocks connected by a massless cable as shown. The coefficients of friction between the blocks and the surface are given (and are different) 45 N 35° 5 kg 10 kg Hk = .3 Hk =.1 Draw the free body diagrams for each block. Decompose all forces into the direction of motion and a perpendicular direction. Calculate all forces except the tension. a.
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- Consider the baby being weighed in the following figure. (a) What is the mass of the infant and basket if a scale reading of 55 N is observed? (b) What is tension T1in the cord attaching the baby to the scale? (c) What is tension T2, In the cord attaching the scale to the ceiling, If the scale has a mass of 0.500 kg? (d) Sketch the situation, indicating the system of interest used to solve each part. The masses of the cords are negligible.(a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her mass on that knee? (b) During strenuous exercise, it is possible to exert forces to the joints that are easily 10 times greater than the weight being supported. What is the maximum force of friction under such conditions? The frictional forces in joints are relatively small in all circumstances except when the joints deteriorate, such as from injury or arthritis. Increased frictional forces can cause further damage and pam.A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore It in detail, but the owner gets impatient and pulls on the leash with force along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?
- A 15-kg sled is pulled across a horizontal, snow-covered surface by a force appiled to a rope at 30 degrees with the horizontal. The coefficient of kinetic friction between the sled and the snow is 0.20. (a) If the force Is 33 N, what is the horizontal acceleration of the sled? (b) What must the force be in order to pull the sled at constant velocity?Two blocksmịand m2 connected by a rope are being pulled by a horizontalforce F equal 160 N. Suppose that mį=10 kg,20 kg, and the coefficient of kineticm 2 =20 kg10 kgfriction between each block and the surfacem1is 0.52.A. Draw free-body diagrams of both objects.B. Find the acceleration of the systemC. Find the tension in the ropeD. What is the distance that the system ( two masses) will travel if youknow that are started from rest and final velocity is 4.5 m/sec(B) a= { FSanta Clause is about to distribute his gifts, but his reindeer Rudolph is still sleepy. So, instead of flying they use the ground and cross a 20-m-long bridge. Starting from rest, Rudolph pulls Santa and his sleigh, with a force F 30° above the horizontal against a frictional force of 80N. 1. Draw an appropriate free body diagram to represent all the forces acting on Santa and his sleigh. 2. Suppose the combined mass of Santa, his sleigh, and his gifts is 500kg. What is the magnitude of Fif the acceleration of Santa and his sleigh is 1.5 meters per second squared? 3. How much work is done by Rudolph in pulling Santa and his sleigh in crossing the bridge? 4. What is the change in the kinetic energy of Santa and his sleigh after crossing the bridge? 5. How fast are they moving at the end of the bridge?
- A sled is on a horizontal surface and a rope with tension T is pulling on it at an angle 0 above the horizontal. The sled had mass M and does not move due to the frictional force. In this case the coefficient of friction is µ̟. In terms of the variables given and g, what is the magnitude of the frictional force in this case? Select one: a. H, Mgsino b. Tcose O c. Tsin0 O d. H, Mgcos01. 50 kg block of weight W, acted upon by a force P = 100N at an angle a = 30°, as shown, is resting on a horizontal surface. The coefficients of frictionbetween the block and the surface are μs, = 0.30 and μk = 0.25. The force exerted by the surface on the block is 440.5 N. a. What is P in component form?b. At the instant shown, what is the frictional force, f, between the block and the surface?c. What is the magnitude of the angle of friction?d. What is the resultant, Rfn, of the frictional force f and the normal force N?Three blocks where suspended in the air using massless strings and passing through massless and fixed pulleys as shown. The middle mass mB = 5.00 [kg]. When the system achieved equilibrium, it was found out that a = 60.0° and y = 30.0°. MA α тв mc Draw the free body diagrams of block A, B, and C. Write down Newton's 2nd law along the x and y directions for all three blocks. You must have six equations total.
- Consider the figure shown in the following figure. You are loweringtwo boxes, one on top of the other, down a ramp by pulling on a ropeparallel to the surface of the ramp. Both blocks move with constantvelocity of 10.0 [m/s]. The coefficient of kinetic friction between theramp and the lower box is 0.555 and the coefficient of static frictionbetween the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state of motion (accelerations). C. What are the magnitude and direction of the frictional force on the upper box? D. What is the magnitude of the applied force? E. Determine the angle at which the top block will start to slide down the bottom block.Consider the figure shown in the following figure. You are loweringtwo boxes, one on top of the other, down a ramp by pulling on a ropeparallel to the surface of the ramp. Both blocks move with constantvelocity of 10.0 [m/s]. The coefficient of kinetic friction between theramp and the lower box is 0.555 and the coefficient of static frictionbetween the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state ofmotion (accelerations). C. What are the magnitude and direction of the frictional force on the upper box? D. What is the magnitude of the applied force? E. Determine the angle at which the top block will start to slide down the bottom block.A 6.5 kg block is placed on a frictionless surface, conneted to an unknowm mass, and arranged as shown. The unknown mass falls from rest a distance 2.4 m, acheiving a speed of 4 m/s. a. Determine the unkown mass. b. Find the tension in the string.