PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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A 173-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his
snowboard and the magnitude of his total acceleration at the instant depicted. Use a value HK = 0.06 for the coefficient of kinetic
friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the
snowboarder is 2.2 feet from the surface of the snow.
27°
G
21'
Answers
N =
a =
i
i
21'
lb
ft/sec²
The system is released from rest with the spring initially stretched 2 in. Calculate the velocity of the 100-lb cylinder after it has dropped 6 in. Also determine the maximum drop distance of the cylinder. Neglect the mass and friction of the pulleys 100 lb
A constant force of F acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched lenght of the spring is 250 mm, and the spring modulus is k = 1.5 kN/m. Neglecting the friction, determine the required force F to cause the 2 - kg mass to have a speed of v2 = 1.5 m/s at position 2.
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- A 180-lb snowboarder has speed v = 18 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value μk = 0.07 for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center G of the snowboarder is 2.2 feet from the surface of the snow. 40° G Answers N = a = V i 3725.6 23.22 22' lb ft/sec²arrow_forward3. The 60-lb boy swings down as shown in Fig. below. If he starts from rest when 0 = 0°, determine the rate of change in his speed and the tension on each of the two cords of the swing when 0 = 60°. Neglect his size and the mass of seat and cords for the calculation. His speed is actually the speed of boy's center of mass G.arrow_forwardThe 1.5-lb collar slides with negligible friction on the fixed rod in the vertical plane. If the collar starts from rest at A under the action of the constant 2-lb horizontal force, calculate its velocity v as it hits the stop at B.arrow_forward
- Determine 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_forwardThe 1400 kg car is starting from rest with a constant acceleration, and after 20 s reaches a speed of 40 km/h. The front wheels are free to roll. Neglect the mass of the wheels and calculate: 1. The normal reactions at each of the four wheels on the road 2. The friction force under the rear driving wheels B.arrow_forwardThe small collr of mass m = 0.59 kg is eleased from rest at A and slides down the curved rod in the vertical plane with negligible friciton. Find the velocity of the collar as it strikes the base at B.arrow_forward
- -0,3 m The crate moves in a smooth vertical slot from A to B as shown, when a constant vertical force F C is applied to the rope. It starts motion from rest, and the attached spring has no deformation at A. If the mass of the crate is 6 kg, and the vertical 0,4 m displacement between A and B (Sg) is 0.20 m, Be determine the required constant vertical force F when the crate reaches B with a velocity of VB = F 3 m/s. The size and mass of the pulley can be k = 100 N/m neglected.arrow_forwardQ4. The system consists of 60 lb and 20 lb blocks A and B, respectively, and 5 lb pulleys C and D that can be treated as thin disks. Determine the speed of block A after block B has risen 5 ft, starting from rest. Assume that the cord does not slip on the pulleys, and neglect the mass of the cord. 0.5 ft A 0.5 ft D Barrow_forwardI need the answer at 20 minutearrow_forward
- Please solvearrow_forwardDynamicsarrow_forwardA wagon weighing 500 kN starts from rest, runs 30 meter down one percent grade and strikes the bumper post. If the rolling resistance of the track is 5 N/kN, find the velocity of the wagon when it strikes the post. If the bumper spring which compresses 1 mm for every 15 kN determine, by how much this spring will be compressed.arrow_forward
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