Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 92P
(a)
To determine
The free body diagram of the block and use it to determine the magnitude of the acceleration.
(b)
To determine
The case when the wedge is given an acceleration larger than
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A box of mass 0.8 kg is placed on an inclined surface that makes an angle 30° above
the horizontal, Figure A constant force of 18 N is applied on the box in a direction 10
with the horizontal causing the box to accelerate up the incline. The coefficient of
kinetic friction between the block and the plane is 0.25.
(a) Calculate the block's acceleration as it moves up the incline.
(b) If the block slides down at a constant speed, find the value of force applied.
30
Determine the magnitude and direction of the friction force exerted by the incline plane on the block if the magnitude of the horizontal rightward force P is 58 pounds. The system begins from rest.
A contestant in a winter sporting event pushes a 49 kg block of ice at an angle 25∘ below the positive direction across a frozen lake, as shown in the figure. Assume the coefficients of static and kinetic friction are μs=0.1 and μk=0.03Calculate the minimum force Fmin he must exert to get the block sliding across the ice in newtons.
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Chapter 4 Solutions
Physics for Scientists and Engineers
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98P
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- Alter a tornado, you decide to go check on your mother' house. You start driving down an 11 degree (from the horizontal) hill, when you notice a fallen tree blocking the road. You slam on the brakes and, as a result, your 1670 kg car starts skidding. The coefficient of kinetic friction between the tires and the road is 0.600. (a) Calculate your car's acceleration while skidding. (b) How long does your car take to come to a complete stop; knowing that initially it was moving at 50.0 km/h?arrow_forwardA homeowner accelerated a 15kg lawnmower uniformly from rest to 1.2m/s in 2.0 s. The coefficient of kinetic friction is 0.25. Calculate the horizontally applied force acting on the lawnmower.arrow_forward(b) Write an expression for the sum of the forces in the x-direction using the variables from the above Free Body Diagram. ΣFx= Part (c) Given the coordinate system specified in the problem statement, write an expression for the sum of the forces in the y-direction. Part (d) Write an expression to show the relationship between the maximum friction force, Ff, and the normal force, F. Part (e) Calculate the magnitude of F, in Newtons, if F is at its maximum.arrow_forward
- (b) A body of mass 50 kg rests on a rough horizontal surface (µ =0.4) and is acted upon by a push applied at an angle of 45° to the horizontal. Determine the magnitude of push if it causes the body to move with an acceleration of 3m/sec². Sketch the free body diagram.arrow_forwardA flatbed truck is traveling at a constant speed of 60kph up the 15% grade when 100 kg crate which it carries is given a shove which imparts to an initial relative velocity x= 3m/s towards the rear of the truck. If the crate slides a distance x=2m measured on the truck bed before coming to rest on the bed, a)Compute the acceleration of the block. b)Compute the coefficient of kinetic friction between the crate and the truck. c)Compute the time it takes for the crate to move a distance of 2 m.arrow_forwardThe two objects are initially at rest. If the static and kinetic friction coefficientsbetween block A and the horizontal surface are as shown in the figure.(a) Determine whether motion will occur when the objects are released from rest.At some point, the velocity of cylinder B reaches 1.2 m/s. Calculate :(b) The velocity and acceleration of block A.c) The tension in the cable and the acceleration of cylinder B.arrow_forward
- A flatbed truck is travelling at a constant speed of 60kph up the 15% grade when 100 kg crate which it carries is given a shove which imparts to an initial relative velocity x= 3m/s towards the rear of the truck. If the crate slides a distance x=2m measured on the truck bed before coming to rest on the bed, a) Compute the acceleration of the block. b) Compute the coefficient of kinetic friction between the crate and the truck. c) Compute the time it takes fo the crate to move a distance of 2 m.arrow_forwardThe coefficient of friction between blocks is us = 0.4, at what angle will the block start sliding if it is initially at rest? Solution Let us obtain the net force in the axis perpendicular to the inclined plane. By virtue of the first law of motion (equilibrium), the net force is 2 F perpendicular = n - Fgperpendicular = Thus, the normal force is n = m Cos On the axis parallel to the inclined, the net force isarrow_forward14. Figure 5-34 shows three blocks being pushed across a frie- tionless floor by horizontal force F. What total mass is acceler- ated to the right by (a) force F, (b) force F, of block 1 on block 2, and (c) force F of block 2 on block 3? (d) Rank the blocks according to their accelerations, greatest first. (e) Rank forces F, F, and F32 according to their magnitude, greatest first. (Warmup for Problem 40) 10 kg 5 kg 2 kg 3.arrow_forward
- - A person sits at the top of a large, smooth hemispherical dome of radius R. Starting from rest, the person slides down along the surface of the dome. (a) Find the speed of the person v as a function of 0. (b) At a moment when the person's speed is some value v, find the normal force acting on the person. (c) Find the angle 0c at which the person loses contact with the dome.arrow_forwardA box of mas 5. 0 kg is held by a rope on a frictionless inclined surface with angle of inclination of 30 as shown. (a) Draw a free body diagram if the rope breaks (b) What will the magnitude of the acceleration of the box be if the rope breaks?arrow_forwardA 25.0 kg box of textbooks rests on a loading ramp that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35. (a) As a is increased, find the minimum angle at which the box starts to slip. (b) At this angle, find the acceleration once the box has begun to move. (c) At this angle, how fast will the box be moving after it has slid 5.0 m along the loading ramp?arrow_forward
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