The cylindrical plug A of mass mA = 3.3 kg is released from rest at B and slides down the smooth circular guide. The plug strikes th block C of mass mc = 2.5 kg and becomes embedded in it. Calculate the distances which the block and plug slide before coming to The coefficient of kinetic friction between the block and the horizontal surface is p = 0.46 and the distance r = 2.08 m. + mc MA
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- The velocity of the 7.6-kg cylinder is 0.49 m/s at a certain instant. What is its speed v after dropping an additional 1.87 m? The mass of the grooved drum is m = 10.1 kg, its centroidal radius of gyration is k = 260 mm, and the radius of its groove is r; = 225 mm. The frictional moment at O is a constant 15.3 N-m. Assume r, = 345 mm. m Answer: v = i m/sThe collar is released from rest in the position shown and slides down the fixed rod. Calculate (a) the stiffness k of the spring (which has been initially pre- compressed 50 mm by the light strap and wires) so that its maximum additional deflection equal 190 mm. (b) The normal 1.3 m smooth 10 kg 30° 190 mm force N between the rod and the collar at the end position. U1-2= AT 1.0 m B P = 250 N Position of B is fixedThe collar is released from rest in the position shown and slides down the fixed rod. Calculate (a) the stiffness k of the spring (which has been initially pre- 10 kg compressed 50 mm by the light strap and wires) so that its maximum additional deflection equal 190 mm. (b) The nomal 1.3 m smooth 190 mm force N between the rod and the collar at the end position. U1-3= AT 1.0 m P = 250 N Position of B is fixed
- The system is released from rest in the position shown. The 15-kg cylinder falls through the hole in the support, but the 15-kg collar (shown in section) is removed from the cylinder as it hits the support. Determine the distances which the 50-kg block moves up the incline. The coefficient of kinetic fric- tion between the block and the incline is 0.30, and the mass of the pulley is negligible. 15 kg 50 kgIn a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that positionIn a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position Note X is the student roll no. for example if the student roll no is A20 then X=20
- For the given system, the cylinder of mass m is attached to a frictionless pulley. The chord attached to the 60.0 kg block runs through the fixed drum with coefficient of friction equal to 0.20. The coefficient of friction between the block and the incline is 0.15. Determine the range of mass m so that the system remains at rest. 60 kg u=0.20 H-0.15 20° m Solution guide: Consider Case 1: the motion is impending down the plane. o What are the forces acting on the 60 kg block? o What is the direction of friction force? o Calculate the tension force acting on the block. Is this the heavier tension or the weaker tension? Consider Case 2: the motion is impending up the plane. o What are the forces acting on the 60 kg block? o What is the direction of friction force this time? o Calculate the tension force acting on the block. Is this the heavier tension or the weaker tension? (Note: Please match your answer to the provided answer, Answer: 16.4348 kg Sm S 85.0868 kgThe collar is released from rest in the position shown and slides down the fixed rod. Calculate (a) the stiffiness k of the spring (which has been initially pre- compressed 50 mm by the light strap and wires) so that its maximum additional deflection equal 190 mm. (b) The nomal force N between the rod and the collar at 10 kg 190 the end position. Uj-2= ATQ1. The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity w=2 rad/s. As it passes the position 0 = 0°, a small block of mass m is placed on it at a radial distance r = 400 mm. (a) If the block is observed to slip at 0 = 50°, determine the coefficient of static friction us between the block and the member. (b) Before the block slips, calculate the value of 0 at which there is no frictional force applied to the mass. (c) At a later stage, the angular velocity is increased from 2 rad/s to 7 rad/s in 3 seconds. The angular acceleration is known to be a = k t, where t is time. Find k. %3D m Figure Q1
- The cylindrical plug A of mass ma = 3.3 kg is released from rest at B and slides down the smooth circular guide. The plug strikes the block C of mass mc = 3.7 kg and becomes embedded in it. Calculate the distances which the block and plug slide before coming to rest. The coefficient of kinetic friction between the block and the horizontal surface is u = 0.42 and the distance r = 1.42 m.The 1650-kg car has its mass center at G. Calculate the normal forces NA and Ng between the road and the front and rear pairs of wheels under conditions of maximum acceleration. The mass of the wheels is small compared with the total mass of the car. The coefficient of static friction between the road and the rear driving wheels is 0.80. What is Na in kN G 400 mm B 1200 1200 mm mmFial I The figure shows a body consist of two segments which are a rod AB and a disk with weights of 4-lb and 11-lb respectively. The body is attched with a spring. The roller 1 ft k = 8 lb/ft Datum at C allows the spring to remain vertical as the rod falls. B A The length of the unstretched spring is 0.85 ft. If the body is released from rest and rotates CW about point B, 1 ft 3 ft determine the following: (Assume the datum at point B) 0.25 ft 1. The potential energy of the spring when the body is horizontal. 2. The potential energy due to gravity when the body is horizontal. 3. The potential energy of the spring when the body is vertical. 4. The potential energy due to gravity when the body is vertical. 5. The angular velocity at the instant the body becomes vertical.