PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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a 7.4 lb block has a speed of v-2.4 ft/s to the left when the force of F=3.6t^3 lb is applied to the right. determine the velocity and position of the block when t= 0.2 seconds. the coefficient of friction at the surface is uk= 0.2. provide both a free body diagram and a kinetic diagram. the force is being applied in the opposite direction to the velocity of the block.
1. If the 50-kg crate starts from rest and achieves a velocity of v = 4 m/s when it travels a distance of 5 m to
the right, determine the magnitude of the force P acting on the crate. The coefficient of static friction
between the crate and the ground is u. = 0.3
30
If the 50 kg crate starts from rest and covers a
distance of 7.8 meters upward in 4 seconds on a plane,
then find the magnitude of the force P acting on the
chest. The coefficient of kinetic friction between the
crate and the floor is uk = 0.25.
30°
30
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- 2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is us = 0.3, determine the minimum and maximum constant speed at which the car can travel without sliding down and up the slope. Neglect the size of the car. e= 20°arrow_forwardThe 20-kg crate is subjected to a force having a constant direction and a magnitude F = 100 N. When s the crate is moving to the right with a speed of 8 m/s. Determine its speed when s = 25 m. The coefficient of kinetic friction between the crate and the ground is 15 m, %3D µ= 0.25 30°arrow_forwardThe van is traveling at 20 km/h when the coupling of the trailer at A fails. If the trailer has a mass of 300 kg and coasts 50 m before coming to rest, determine the constant horizontal force F created by rolling friction which causes the trailer to stop.arrow_forward
- The car has a mass of 2000kg. Determine the shortest time it takes for it to reach a speed of 90 km/hr, starting from rest, if the engine drives the front wheels, whereas the rear wheels are free rolling. The coefficient of friction between the wheels and road is s=0.4, k=0.3. Neglect the mass of the wheels. What are the reactions at the front and rear wheels while the car is acceleratingarrow_forwardIf the 200 kg crate starts from rest and travels a distance of 10 m up the plane in 6s, determine the magnitude of force acting on the crate. The coefficient of kinetic friction between the crate and the ground is μ=0.4. 30° P 30°arrow_forwardThe 300-N block is at rest on the horizontal plane before the force P is applied at t=0. Find the velocity and position of the block when t=5 sec. The magnitude of P is 80t N, where t is the time in seconds, and its direction is constant. The coefficients of static and kinetic friction are μs = 0.4 and μk = 0.2, respectively. FIND: A. Find t (time in seconds) when the block starts to move B. Find a (acceleration) in terms of t (time in seconds) C. Find v (velocity) in terms of t (time in seconds) D. Find x (displacement) in terms of t (time in seconds) E. Find v (velocity) when t = 5sec F. Find x (displacement) when t = 5secarrow_forward
- The 8-kg block is moving with an initial speed of 5 m/s. If the coefficient of kinetic friction between the block and plane is μk=0.25, determine the compression in the spring when the block momentarily stops.arrow_forwardIf the coefficient of kinetic friction between the150-lb crate and the ground is uk = 0.2, %3D determine the speed of the crate when t = 4 s. The crate starts from rest and is towed by %3D the 100-lb force. 100 lb 30°arrow_forwardThe 100 kg crate is subjected to forces F1= 800 N and F2= 1500 kN, as shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Muk= 0.2arrow_forward
- The 5-lb packages ride on the surface of the conveyor belt as shown in (Figure 1). The coefficient of static friction between the belt and a package is 0.45. Figure 0. 6 in. 6 If the belt starts from rest and its speed increases to 2 ft/s in 2 s, determine the maximum angle so that none of the packages slip on the inclined surface AB of the belt. Express your answer in degrees to three significant figures. 0 = Submit Part B Avec b = Request Answer At what angle do the packages first begin to slip off the surface of the belt after the belt is moving at its constant speed of 2 ft/s? Neglect the size of the packages. Express your answer in degrees to three significant figures. IVE| ΑΣΦ | 41 ? vec ? Oarrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. Part 1 -L B Answer: ay = i m Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y m/s²arrow_forwardDetermine the constant force P required to cause the 0.39-kg slider to have a speed v2 = 0.89 m/s at position 2. The slider starts from rest at position 1 and the unstretched length of the spring of modulus k = 210 N/m is 180 mm. Neglect friction.arrow_forward
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