A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction forthe block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.(a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.73.4kg s m s.03kg(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.52.94kg s m s 10.82kgeBook

Answered: Image /qna-images/answer/f015fc6e-e4fa-4aca-8a78-a74303154e14.jpg

A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.

A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: From the given figure, the mass of the block is 200kg. Coefficient of friction for all surface is…

Q: In the figure, a climber with a weight of 390 N is held by a belay rope connected to her climbing…

A: According to the given data in the question Free body diagram is drawn below We need to find…

Q: As shown in the figure below, a uniform beam is supported by a cable at one end and the force of…

A: Given Data:Angle Length Coefficient of static friction Weight of the shaft = To Determine:The…

Q: Don't use chatgpt will upvote

Q: Given the dimensions h = 0.45 m, b = 0.8 m, the weight W = 74 N, the coefficient of friction mu =…

Q: Two blocks, of weights 3.6 N and 7.2 N, are connected by a massless string and slide down a 30°…

A: Draw the schematic diagram for the above problem.

Q: M, M2 R friction The figure above illustrates a system comprising a rigid support structure having a…

A: Given Two blocks of mass M1 & M2 are tied to the rope and placed over a wedge Left side of the…

Q: The Figure below shows a block of (m1= 5kg) sits on a Wedge of (m2=25kg) Find the magnitude of the…

Q: The solid cylinder in the figure is 4 ft in diameter and weighs 644lbs. it is acted upon by an…

Q: The 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block.…

A: According to the given data m1=1kg m2=2kg the friction coefficient for both surfaces of block 2…

Q: A block of mass m rests on an inclined plane and is attached by a string to the wall as shown in the…

A: Given data:Tension in string, T=20 NCoefficient of friction, μ=0.25cosθ=0.8sinθ=0.6g=10 m/s2

Q: The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the…

A: Given: The diameter of the wheel, D = 4 in The diameter of the shaft, d = ½ in The magnitude of…

Q: The 70.62-kg climber in the figure is supported in the “chimney” by the friction forces exerted on…

A: Given: Mass of the climber=70.62kgCoefficient of friction between shoe and the wall…

Q: PROBLEM 3: The tank shown in the figure weighs 3.8 kN. In this problem, D = 1.5 m, H = 3.4 m and e…

Q: 40 cm 80 cm • A homogeneous block of weight W rests upon the incline shown in Figure. If the…

Q: A block of mass m₁ = 1.95 kg and a block of mass m₂ = 6.45 kg are connected by a massless string…

A: m1=1.95kg m2=6.45kg M=10kg R=0.250m N=10kg θ=30° μ=0.36 We need to find Acceleration of the two…

Q: 106 lb crate is initially stationary. Coeffi- cients of friction between crate and inclined surface…

Q: (1₁) A 25° W₁ = 4 16 W₁ = 6 16 W₁₂ = 8 lb We MK = 0.15 B no friction с 55° For the configuration of…

Q: A 100-kg cylinder rests against a wall and a plate . The coefficient of friction is 0.30 at both…

A: Consider the free body diagram shown below for the plate. From the equilibrium in the direction…

Q: A block R of mass 100 kg is placed on a block Sof mass 150 kg as shown in the figure. Block R is…

Q: A block of mass m, 2.40 kg and a block of mass m₂ = 5.90 kg are connected by a massless string over…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for
the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.
(a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.
73.4
kg s m s.03
kg
(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.
52.94
kg s m s 10.82
kg
eBook

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The Leaning Ladder A uniform ladder of length { rests against a smooth, vertical wall (figure (a)). The mass of the ladder is m, and the coefficient of static friction between the ladder and the ground is H = 0.46. Find the minimum angle 0min at which the ladder does not slip. (a) A uniform ladder at rest, leaning against a smooth wall. The ground is rough. (b) The forces on the ladder. mg SOLUTION Conceptualize Think about any ladders you have climbed. Do you want a large friction force between the bottom of the ladder and the surface or a small one? If the friction force is zero, will the ladder stay up? Simulate a ladder with a ruler leaning against a vertical surface. Does the ruler slip at some angles and stay up at others? Categorize We do not wish the ladder to slip, so we model it as a rigid object in -Select-- Analyze A diagram showing all the external forces acting on the ladder is illustrated in figure (b). The force exerted by the ground on the ladder is the vector sum of a…
1. A uniform ladder of mass m and length is leaning at rest against a wall at an angle 0. The coefficient of static friction between the floor and the ladder is μ5₁, and that between the wall and the ladder is Ms2. (a) Draw an FBD of the ladder when it is at rest. (b) Find out the measure of in terms of usi and μs2. (Hint: Consider torque and rotational equilibrium) (c) What is the trajectory, i.e., path of motion, of the center of the ladder as it slides down? (d) Given that the instantaneous speed of the top of the ladder is VÀ at some moment as it slides down, what are the speeds of the other end and the center of the ladder at the same moment? A 2. A ring with mass m is attached to a string. The string holds a block M as well through a pulley system. m is moving downward with an acceleration a' relative to the string. What is the friction between the ring m and the string in terms of g? The pulley and string are both ideal. mo M
I need to draw a free body diagram and the solution m2=88kg
A block of mass, m = 20 kg, rests on the inclined plane shown. What is the minimum force, P, required to maintain equilibrium of the block? The static coefficient of friction is 0.2 and the kinetic coeficcient of friction is 0.15 M 25° P 80⁰ Solve the problem and answer the questions that follow.
2.0 kg push 45° Problem 4: (a) The 2 kg wood box in the Figure above on the left slides up a vertical wood wall while you push on it at a 45° angle. The coefficient of kinetic friction for wood on wood is Hk = 0.2. What magnitude force Fpush should you apply to cause the box to slide up at a constant speed? Recall that constant speed means a = 0 m/sec?. Answer: 34.6 N. (b) Let's re-do part (a), but with the box now sliding down the vertical wood wall while you push on it at a 45° angle. Hk is still Hk = 0.2. What magnitude force Fpush should you apply to cause the box to slide down at a constant speed? Recall that constant speed means a = 0 m/sec?. Answer: 23.1 N. Problem 5: The Figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. One block has mass mi = 1.3 kg; the other has mass m2 = 2.8 kg. What are: (a) The magnitude of the blocks' acceleration. Answer: 3.6…
A pull of 31.89 N at 30° to the horizontal in necessary to move a block of wood on a horizontal table (the shown figure below). If the coefficient of friction between the bodies in contact is 0.135, what is the weight of the block?
Dont forget to draw the FREE BODY DIAGRAMS ALSO PLEASE! (:
Figure shows a 100 kg concrete cylinder resting on a wall at A. A 10° wedge is used at the bottom to prevent the concrete cylinder from rolling. The coefficients of static friction at A and B are 0.6 and 0.2, respectively, and the coefficient of static friction between the wedge and the floor is 0.3. By assuming the negligible weight of the wedge, determine the force P required to lift the concrete cylinder in the direction shown.
A rotating drum is braked by a flat belt attached to the lever ABC, hinge at B as shown in Figure. Determine the braking moment exerted by a vertical weight of 150 N. Take AB = 35 cm, BC = 65 cm and coefficient of friction between the belt and drum surface is 0.43. The radius of the drum is 0.2 m OPTIONS: 1.About 35 N-m 2.None 3.About 40 N-m 4.About 50 N-m 5.About 30 N-m 6.About 45 N-m
A body of mass 2 kg slides from the top of a rough inclined surface with a coefficient of friction of 0.2 and inclined at an angle of 60 as shown in the figure. Find: 1. The magnitude of the frictional force 2. The acceleration of the body
A block weighing 4500 N resting on a horizontal surface supports another block of 3000 N as shown in the figure. Find the horizontal force P in Newton required to just move the block to the left. Take the coefficient of friction for all contact surfaces as 0.3.
A block Rof mass 100 kg is placed on a block a Sof mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coefficient of static friction for all surfaces is 0.4, the minimum force F (in kN) needed to move the block Sis Q R.