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(a) Draw the free body diagrams of ?1, ?2 and block ?.
(b) Determine the acceleration vectors of all mobile bodies in the situation where
they are always in contact as shown in Fig .1.
(c) Calculate the normal reaction forces on block ? and ?1; tension in the string
and contact force between block ? and ?2.
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- A block of mass m resting on a 20 degree slope. The block has coefficients of friction us = .64 and uk = .54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at the rest when it is released from rest?The slope of the 4.1 kN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 9, b = 3. Answer: F = (i it i j) KNMasses m₂, m₂, m3 and om are connected together as shown in the figure below. All the surfaces are smooth. If m₁ = 3.2kg, m₂ = 2.8kg, m3 = 3.8kg, om = 1.3kg and = 55°, calculate a) the acceleration of the system. b) the normal force between m3 and ōm. 7²1 7122 In+one 183
- Three objects are connceted by a massless wires over a frictionless pulley. The right side of the pulley wire is connected to a 15kg block and right below that is a 10kg block on the bottom of the wire. The tension in the wire connecting the 10kg and 15kg objects is measured to be 133 N. What is the weight of the unknown mass on the left side of the pulley or other side of the pulley?A man stands on the lateral surface of a cylinder, moves his legs, and moves the cylinder with constant speed (see figure). Considering that the coefficient of friction between the shoes and the cylinder is mu = 0.3. What will be the friction force between the cylinder and the man. The mass of man m = 70 Kg.Two blocks of mass m1 = 0.6 kg and m2 = 2.4 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.27. Calculate the speed of the blocks after they have moved a distance 53 cm. Assume that the pulley is massless and frictionless.
- The slope of the 7.9 kN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 11, b = 5. Answer: F = (i a b -x i+ MI j) kNFigure shows a block of mass m resting on a 20∘ slope. The block has coefficients of friction μs = 0.80 and μk = 0.47 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. a) What is the minimum mass m that will stick and not slip? Express your answer to three significant figures and include the appropriate units. b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? Express your answer to three significant figures and include the appropriate units.A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with uk = 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration. A В C.
- The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a rope to a rock of mA = 405 kg and makes his way over the ledge (see the figure below). If the coefficient of static friction between the rock and the ground is H=0.348, and the mass of the hiker is ma= 70.1 kg, what is the maximum mass of the friend, mc, that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. (ANS: 70.8 kg)The figure shows a 100-kg block being released from rest from a height of 1.0 m. It then takes 0.64 s for it to reach the floor. What is the mass m of the block on the left? There is no friction or mass in the pulley, and the connecting rope is very light.