A child starts sledding from rest, going down a 40 m long 7.5° incline, then coasting across ahorizontal stretch. The mass of the sled + child is 35 kg, and the coefficient of kinetic friction is0.060.a. Make force diagrams for the sled + child on both the hill and the horizontal stretch.b. Resolve the weight of the sled + child along and perpendicular to the plane.c. Determine the reaction force on the sled + child.d. Determine the speed of the sled + child at the bottom of the incline.e. How far along the horizontal stretch does the sled + child travel before stopping?f. What is the total time for the ride?g. Determine how much energy that is transferred to thermal energy.h. Determine how much work is done on the sled + child by the gravitational force while thechild + sled is moving along the incline.i. By considering the energy of the system and energy transformations, determine the speedof the sled + child at the bottom of the incline. Does your answer agree with part d?

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Answered: A child starts sledding from rest,…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.79P: The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a)...

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Calculate the force P that is required to hold the 120-lb roller at rest on the rough incline.
The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?
Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?
Consider the system shown below. The incline plane is fixed and the coefficient kinetic friction between M and 2M is ?1, and coefficient kinetic friction between the plane and 2M is ?2. Let M=2.0kg, ?=22o, ?1=0.14, and ?2=0.25. (a) What is the magnitude of the frictional force on mass M? (b) What is the magnitude of the total frictional force on mass 2M? (c) What is the acceleration of mass M? (d) What is the acceleration of mass 2M?
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In a modified version of the cart and bucket, the angle of the slope is alpha = 34.9∘ and the bucket weighs 295 N. The cart moves up the incline and the bucket moves downward, both at constant speed. The cable has negligible mass, and there is no friction. What is the weight of the cart?What is the tension in the cable?
For the system shown, the masses of A and B are 55 kg and 135 kg, respectively. The cocfficient of static friction between block B and the surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. The coefficient of friction between the rope and the pulley is 0.10. What is the maximum mass M that can be suspended as shown and still maintain equilibrium?
For the system shown, the masses of A and B are 55kg and 135kg, respectively. the coefficient of static friction between block B and surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. the coefficient of friction between the rope and the pulley is 0.10. a. What is the tension force in the rope connected to block B if the system is in equillibrium? b. What is the magnitude of the friction force between block B and the horizontal surface C if the system is in equillibrium? c.What is the maximum mass that can be suspended as shown and still maintain equillibrium.
Q: Block(A) of weight (100kN) is tied to block (B) of unknown weight (Ws) through a flexible cable passing over a smooth pulley .The coefficient of friction for block (A) is (0.3) and for block (B) is (0.2).Find the range of the weight of block (B) to remain in static equilibrium. Smooth pulley
To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle): a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95. b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed? c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed? e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route. Please add the free body diagram.
Assume that there are no frictional forces between the pulleys and the strings, and the strings are mass-less. The frictional coefficient between the1 kg and 2 kg is 0.05, the frictional coefficient between the 2 kg and 5 kg is 0.1, and the frictional coefficient between the 5 kg and the table is 0.2. (a) Draw free-body diagrams for each mass? (b) Calculate the magnitudes of normal forces and frictional forces?(c) If we release 4 kg and 3 kg from rest what are the accelerations of each mass? (System has two different accelerations)(d) Calculate the tensions in each string?

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