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A small 250-g collar C can slide on a semicircular rod which is made to rotate about the vertical AB at a constant rate of 7.5 rad/s. Knowing that the coefficients of friction are us
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Vector Mechanics For Engineers
- Boxes A and B are at rest on a conveyor belt that is initially at rest. The belt is suddenly started in an upward direction so that slipping occurs between the belt and the boxes. Knowing that the coefficients of kinetic friction between the belt and the boxes are (μk) A= 0.30 and (μk)B= 0.32, determine the initial acceleration of each box.arrow_forward3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M= 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 kg block rests is frictionless. A constant horizontal force of magnitude F= 10.0N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. F - m M M (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forwardA solid cylinder A rolls without slipping is connected to a block B by a cord passing over a frictionless pulley of negligible weight. The cord is fastened to an axis passing through the center of the cylinder which has a radius of 1ft and weight of 161lbs while block B weighs 200lbs. Determine the acceleration of B, the tension in the cord and friction force acting on A. W=200 lb B f0.2 W=161 lb 30° 45% Ans. GB= 2.38 ft per sec²; T = 98.3 lb; F = 5.95 lbarrow_forward
- 3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 kg block rests is frictionless. A constant horizontal force of magnitude F = 10.0 N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. m (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forwardA system of blocks is pulled by a force P. The string connecting blocks A and B passes over a pulley whose coefficient of friction between string and pulley is 0.25. The coefficient of friction between surface and blocks is 0.20. Block A weighs 200N and block B weighs 30ON. Determine, a. the minimum value of P for impending motion to the right. b. the tension connecting block B. B= 30° В A 30°arrow_forward3. A small block B fits inside a lot cut in arm OA which rotates in a vertical plane at a constant rate. The block remains in contact with the end of the slot closest to A and its speed is 1.4 m/s for 0< 0 <150°. Knowing that the block begins to slide when 0 = 150°, determine the coefficient of static friction between the block and the slot. V = 0.3 m Aarrow_forward
- Problem 3.115 I A force Fo of 400 lb is applied to block B. Letting the weights of A and B be 55 and 73 lb, respectively, and letting the static and kinetic friction coefficients between blocks A and B be µi = 0.25, and the static and kinetic friction coefficients between block B and the ground be µ2 = 0.45, determine the accelerations of both blocks. Fo Barrow_forwardThe 38-lb collar A is released from rest in the position shown and slides up the 30° inclined bar with negligible friction due to the action of the constant force P = 45 lb applied. on the wire. Assuming that the maximum deformation of the spring is 6 inches, determine a) The work, in lb ft, done by the force P on the collar to bring it from the position shown to the position of maximum deformation of the spring. P< 6" A B 30° The position of the small pulley B is fixed 40" 30" AMALLVarrow_forwardA 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.arrow_forward
- Slider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed in a horizontal plane. The slider is attached to a spring of constant k = 150 N/m, which is unstretched when r = 0. When arm AB rotates about the vertical axis, the slider moves without friction outward along the smooth slot cut. Determine for the position r = 80 mm: a) The constant speed (V) of the slider. b) The normal force (N) exerted on the slider by arm AB. A r=80mm Barrow_forward3. A 10.0-kg block is released from point A on a track ABCD as shown. The track is frictionless except for the portion BC, of length 6.0 m. The block travels down the track and hits a spring with a spring constant of 2250 N/m and compresses it a distance of 0.30 m from its equilibrium position before coming to a stop momentarily. Determine the coefficient of kinetic friction between the track portion BC and the block. 3m 6 m- wwwwwwwarrow_forwardA sphere of radius r and mass m has a linear velocity v0 directed to the left and no angular velocity as it is placed on a belt moving to the right with a constant velocity v1. If after first sliding on the belt the sphere is to have no linear velocity relative to the ground as it starts rolling on the belt without sliding, determine in terms of v1 and the coefficient of kinetic friction µk between the sphere and the belt (a) the required value of v0, (b) the time t1 at which the sphere will start rolling on the belt, (c) the distance the sphere will have moved relative to the ground at time t1.arrow_forward
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