Ql: - The block shown in figure below has a mass of 100 kg and is resting on 30° inclined surface. The block is connected to another block with a weight of W through a light and inextensible cord that is passing around a frictionless pully. The coefficient of static friction between the 100 kg block and the inclined surface is 0.45. Determine the minimum and maximum weights of the second block that keep the system in equilibrium. Also, show whether the impending motion is by slipping or by tipping. -300 mm- 100 kg w A50 mm 600 mm

Ql: - The block shown in figure below has a mass of 100 kg and is resting on 30° inclined surface. The block is connected to another block with a weight of W through a light and inextensible cord that is passing around a frictionless pully. The coefficient of static friction between the 100 kg block and the inclined surface is 0.45. Determine the minimum and maximum weights of the second block that keep the system in equilibrium. Also, show whether the impending motion is by slipping or by tipping. -300 mm- 100 kg w A50 mm 600 mm

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 111AP: A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A...

See similar textbooks

Similar questions

The person in Figure P5.6 weighs 170 lb. As seen from the front, each light crutch makes an angle of 22.0 with the vertical. Half of the persons weight is supported by the crutches. The other half is supported by the vertical forces of the ground on the persons feet. Assuming that the person is moving with constant velocity and the force exerted by the ground on the crutches acts along the crutches, determine (a) the smallest possible coefficient of friction between crutches and ground and (b) the magnitude of the compression force in each crutch. Figure P5.6
A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is 80of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?
Calculate the maximum deceleration of a car that is heading down a 6° slope (one that makes an angle of 6° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved that is, the tires are not allowed to slip during the deceleration. (Ignore rolling.) Calculate for a car: (a) On dry concrete. (b) On wet concrete. (c) On ice, assuming that s=0.100, the same as for shoes on ice.
Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=kN ) is a=g(sinkcos). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (k=0).
The leg and cast in Figure P4.40 weigh 220 N (w1). Determine the weight w2 and the angle needed so that no force is exerted on the hip joint by the leg plus the cast. Figure P4.40
Two identical strings making an angle of = 30.0 with respect to the vertical support a block of mass m = 15.0 kg (Fig. P4.32). What is the tension in each of the strings?
A 100-lb force acts as shown on a 300-lb crate placed on an inclined plane. The coefficients of friction between the crate and the plane are µs= 0.25 and µk= 0.20. Determine whether the crate is in equilibrium,and find the value of the friction force.
A 2.5-kg concrete block sliding on a vertical wall is being acted upon by a force P as shown in the figure below. ASsume that the coefficient of kinetic friction between the concrete block and the wall is 0.88. The angle of force P is 148°.If the normal force exerted by the wall to the concrete block is 20.0 N, what would be the magnitude of the external force P, and what is the acceleration of the block?
9. Two blocks are positioned on surfaces, each inclined at the same angle of 58.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.66 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.460. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 2.16 kg 9.99 kg 6.02 kg 3.06 kg
A 1.5 kg block resting ina rough flat surface is pulled by a string. The string makes an angle of 20 degress with the horizontal. The coefficient of static friction between the blodk and the surface is 0.35. What is the maximum tension in the string to keep the block unmoved?
An object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f = mg on the particle as shown. Assume that the friction force between the object and the surface is so large that the object remains in place? Find the vertical force FN and the friction force ff ? In terms of the static friction coefficient, what is the range of the angle at which the object remains stagnant?
A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. b. Find the tension on the cable.