Figure 2ВABlock A is hanging from a massless string which runs over a masslessand frictionless pulley and connects to Block B. Block B slides over aninclined plane with ordinary kinetic friction. The plane under block Bis inclined at an angle theta = 0 away from vertical. The other side ofBlock B is connected to another massless string which runs overanother massless and frictionless pulley to connect to Cart C. Cart Crolls without friction over a plane which is inclined at an angle of phi =y away from vertical.C This question refers to the situation in Figure 2, above. The mass ofblock A is 3.8 kg. The mass of cart B is 5.5 kg. The mass of cart C is8.7 kg. The plane under block B is inclined at an angle theta = 0 = 61degrees away from vertical. The plane under cart C is inclined at anangle phi = p = 36 away from vertical. The coefficient of kineticfriction between block B and the plane beneath it is 0.67.The blocks are all moving. The velocity of Block A points upward, andnone of the strings stretch. Assume the only significant forces in thissituation are tension forces, normal forces, friction only between blockB and the plane beneath it, and gravity with g = 9.81 m/s?.Calculate the acceleration of block A, in units of meters per secondsquared. The sign, positive or negative, of your answer is importantand for this problem a positive acceleration points downward for blockA.

Answered: Image /qna-images/answer/ee56e16e-8a72-4f41-b935-05ce08355296.jpg

Answered: Calculate the acceleration of block A,…

Engineering

Mechanical Engineering

Calculate the acceleration of block A, in

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 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI T
Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume the box is sliding downhill. a. What is the magnitude of the acceleration of the box? (same as Problem 3b)b. If the hill is 5m tall, what is the Mary's speed when she reaches the bottom?c. At the bottom of the hill, the ground becomes level, but the coefficients offriction do not change. How far will Mary slide before she comes to a stop?
Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 5.00 kg) moves downward 1.80 m in 2.00 s. A)What is the tension force that the rope exerts on block B ?B)What is the tension force that the rope exerts on block A ?
The illustrated system shows a pulley A that rotates under the effect of an external torque M. The belt that surrounds pulley A tries to stop it unsuccessfully, resulting in pulley A rotating at a constant speed while the belt is fixed. The belt in turn passes through an idle pulley B (frictionless pulley) and pulls a block of mass m2 that is attached to the wall by a spring. If it is considered that the spring has already been stretched by the effect of the tension of the band and that said block is in a condition of imminent movement in the direction to the left, determine: a) The magnitude of the torque M applied to pulley A in the counterclockwise direction. b) The elongation of the spring for the exposed condition. The values of R₂=400mm, R=300mm, μ-0,35, -0,20, k=1000N/m, m₁=17kg, m₂=12kg Pulley A Idle pulley D Resort m1 M a=60° m₂ 3
as shown in the attached figure, a block with mass m1 is attached to a massless ideal string. the string wraps around a massless pulley and then wraps around a ,second massless pulley that is attached to block with mass m2 and ultimately attaches to a wall. the whole system is frictionless. a coordinate system is given in the figure given that a2 is the magnitude of the horizontal acceleration of the block with mass m2 , what is T, the tension of the string?
Task 2 (a) The sports car, having a mass of 1900 kg, travels horizontally along a 20° banked track which is circular and has a radius of p= 100 m. If the coefficient of static friction between the tires and the road is 4, = 0.2, determine the maximum constant speed at which the car can travel without sliding up the slope. Neglect the size of the car. (b) Find all the forces on the car of part (a). (c) If the car is treated as a rigid body, draw the free-body-diagram. Task 3 Provide a practical application of three interconnected rigid bodies such that two of them rotate about a fixed axis and the third one has translational motion. Assume the dimensions of the three bodies, and speeds and accelerations of the two rotating rigid bodies. Find the speed and acceleration of translating rigid body.
In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position
Drew is pushing a 12.0-kg box on a floor until he runs into a horizontal spring. The values of force for a few different values of horizontal position x are (x, F): (-2, 10), (-1, 10), (0, 10), (1, 15), (2, 20), (3, 25), (4, 30). a. What is the coefficient of friction? b. What is the work done by Drew's pushing force from x = 0 m to x = 7 m, where x = 0 m corresponds to the initial contact with the spring? c. What fraction of this work goes into heat?
Block A has a weight of 60 lb and block B has a weight of 10 lb. Neglect friction and the mass of the cord and pulleys. The figure shows a system of pulleys and blocks. Block A is located on an inclined surface with a slope of three-fourths. Block B is vertically suspended by a cord that goes over a pulley located at the top end of the inclined surface. The cord then goes downward and to the left, parallel to the slope, then it goes over a pulley fixed to the upper right end of block A. Then the cord goes upward and to the right parallel to the slope. The end of the cord is fixed to the anchor. Determine the speed of block A after it moves 5.7 ft down the plane, starting from rest.
2. A car and its load weighs 40 kN and the center of gravity is 600 mm from the ground and midway between the front and rear wheel which are 3 m apart. The car is brought to rest from a speed of 49 kph in 5 seconds by means of the brakes. Compute the normal force on each of the front wheels of the car. (Neglect friction)
A couple of figure skaters are executing a move called the "death spiral" as shown in the image below. The male skater on the left is swinging his partner around him on the ice and we can assume that he is rotating without translating. The coefficient of friction between the female's skates and the ice is 0.02. The male skater is applying a constant moment of 8 lb-ft about the axis of rotation to keep the spin going. If the couple is initially spinning at 5 rad/s, calculate their final angular velocity after 6 seconds. Simplify this problem and treat the female as a 140 lb particle that is spinning 6' from the axis of rotation only in the horizontal plane. For full credit, draw an FBD and clearly define your system using polar coordinates. 8 lb-ft Axis of Rotation 6 ft 11:38 AM Type here to search 58°F Partly sunny 3/30/г022
A2.3-kg sphere S is being moved in a vertical plane by a robotic arm. When the angle e is 40°, the angular velocity of the arm about a horizontal axis through O is 54 deg/s clockwise and its angular acceleration is 209 deg/s? counterclockwise. In addition, the hydraulic element is being shortened at the constant rate of 480 mm/s. Determine the necessary minimum gripping force Pif the coefficient of static friction between the sphere and the gripping surfaces is 0.44. Compare Pwith the minimum gripping force P; required to hold the sphere in static equilibrium in the 40° position. 0.9 m Answers: P= N Ps=