Answered: What should be the value of the angle 0…

What should be the value of the angle 0 so that motion of the 40-kg block impends down the plane? The coefficient of friction u, for all surfaces is 1/3.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 32PQ: If the vector components of the position of a particle moving in the xy plane as a function of time...

See similar textbooks

Related questions

Q: The two segments of the L-shaped bar are parallel to the x and z axes. The rope AB exerts a force of…

Q: A force is specified by the vector F = (160i + 120j - 180k) N. Calculate the angles made by F with…

A: Given data The force equation is given as F=160i+120j-180k N. Now, from the given equation Fx =…

Q: When there is an angle between the force and the displacement, W = F•d cos 0. O True O False

A: The work done by a force is given by the dot product of the force and the displacement vector.…

Q: If A=3i+7k and B= -1+2j+k. What is the angle between vectors A and B ?

A: The dot product of the two vectors can be calculated as,

Q: Destion If A = - 3.5 i-9.7j and B-- 6.0i+ 8.1 j, what is the angle (less than 180 degrees) between…

Q: A person flying a kite has released 103 m of string. The string was tied to the base of a pole thus…

A: Given : Length of string (L) = 103 m θ = 38o

Q: calculate the cosine of the angle between this two vectors : A=3i+j+k B=-2i-3j-k

Q: A force is said to be conservative when it satisfies F(x) = - grad(U(x)). Its components must…

Q: Two vectors live with their tail at the same point. When the angle between them is increased by 20…

A: The scalar product between two vectors can be expressed as

Q: PROBLEMS 97 2-45. Describe how to determine whether an equilibrium is stable or unstable when…

Q: Given the function D= 3x²y - y³z², evaluate the gradient at the point (1, -2, -1). a. -12î-18) - 8k…

A: Given: The function is given as. ϕ=3x2y-y3z2…

Q: Find the three equilibrium points x1, x2, and x3, and enter them in order of ascending x-coordinate.

A: The equilibrium points where the net force is zero. that is, Fx=0⇒axb-cx2=0

Q: A force is specified by the vector F = (115i + 70j - 170k) N. Calculate the angles made by Fwith the…

A: Given,Force, F = 115 i^ + 70 j^ - 170 k^ N

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: The equations of motions can be found using:

Q: Particle A lies on the x-y plane and is acted on by the three forces shown. Find the resultant of…

Q: B се 450 In Fig. 2, the partioles A and B, of mass 8 kg and 6 kg respectively, are connected by a…

Q: A block of mass m is initially at rest at the highest point of an inclined plane, which has a height…

Q: 1. A 150-N force acts in the direction defined by the direction angles ex-35° and ey=120°. Knowing…

Q: A body is projected from the ground at an angle of 32° with the horizontal at an initial speed of…

A: The vertical component of the initial speed u can be determined as,

Q: A particle of mass m is subject to an attractive central force F(r) p3 For which values of the…

A: Given: A particle of mass m and attractive central force, Fr=-kr3

Q: A force F = (3i jN acts on a particle that undergoes a displacement given with Ar = (3i + 2j) m.…

Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

Q: Which of the following is conserved if the Lagrangian of the system is given as: 1 L=-m(x° + y*…

A: If the Lagrangian of the system is given, then the Lagrange's equation is defined as follows:

Q: Prove That AX B = A xB w hen Yotaing The axles (x, Y, Z) bY an Angle $ a bou The axis Z wherens A-…

A: for rotation of axisusing the equations:x'=xcosθ+ysinθy'=-xsinθ+ycosθz'=z

Q: A force vector applied F= 3 i + 4 j applied on amass of block (M) on frictionless horizontal surface…

A: Given: The force applied (F→) on a block is 3i^+4j^. The displacement (x) function is given as…

Q: A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a…

Q: Fy 30° Problem 04. (D-EVEN) If F, = 400lb and F3 = 800lb, determine the magnitude of F1. Also,…

Q: Find the direction cosines of angles from x, y, and z axis of the force F = 350N and passing through…

Q: Given through the indicated points: A=280kN (12, 6, -4); B=520KN (-3, -4, 12); and C=270KN…

A: We need to find the resultant force of the system of forces given in the question. Also it is…

Q: What is the angle between tw vectors A = 4i + 12j + 6k and

A: GivenA→=4 i+12 j+6 kB→=24 i-8 j+6 k

Q: In the figure shown, compute the minimum value of e so that there is impending motion of the block.…

Q: A block of mass M is sitting on a surface inclined at angle θ. Given that the coefficient of static…

A: From the condition not to slide,

Q: A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface.…

A: we know that net force acting on body Fnet=ma In this case ,F-fs=ma.....(1) we know that…

Q: xplain categories of equilibrium? efine a dot product of two vectors A and B, here A = Axi + Avi +…

A: if net force force acting on body is zero then object is said to be in equilibrium.

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: In the friction experiment, if the friction block has a mass of 599 g, and it started to move at a…

Q: Prove the property of the cross product u × v = 0 if and only if u and v are scalar multiples of…

A: The cross product property of vectors is given by:u×v=uvsinθ......(1)where,u and v are the magnitude…

Q: Find the value of the constant c such that each of the following forces is conservative: (a) F = ixy…

Q: A block of wood is projected up an inclined plane with initial speed og. If the inclination of the…

Q: If Force = (-5,4) and Displacement (-2,-3), find the angle in degrees between the two vectors.

A: Given F=-5i+4j Displacement D=-2i-3j To Find Angle between vectors θ

Q: At a certain point of a body, the components of the cauchy stress tensor are given by [2 5 37 [0] =…

A: introduction: Cauchy stress vector tn at point P on the plane in terms of normal and shear…

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

Answer with complete solution.

What should be the value of the angle 0 so that motion of the 40-kg block
impends down the plane? The coefficient of friction u, for all surfaces is 1/3.
13.5 kg
40 kg

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 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, physics and related others by exploring similar questions and additional content below.

Similar questions

A 250 N block is initially at rest on a flat surface that is inclined at 30°. if the coefficient of the static friction is 0.30, find the force required to start the block moving up the plane.
A block of mass M is sitting on a surface inclined at angle θ. Given that the coefficient of static friction is μs between block and surface, what is the maximum angle θ so that the block doesn't slide?
Two blocks A and B have a weight of 10 lb and 6 lb , respectively. They are resting on the incline for which the coefficients of static friction are uA = 0.15 and uB= 0.25. Determine the incline angle ?theta for which both blocks begin to slide. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 2lb lb/ft and is originally unstreched.
A 2.5 kg block is placed on a rough plane inclined 40° with the horizontal. Coefficient of static friction andkinetic friction are 0.41 and 0.32, respectively. (a) What force applied parallel to the plane is needed to keepthe block in impending motion down the plane? Should this force be applied up or down the plane? (b)What force applied parallel to the plane is needed to keep the block moving down the plane with constantspeed? Should this force be applied parallel up or down the plane?
A woman exerts a horizontal force of 119 N on a box with a mass of 39.2 kg. If the box doesn't move, what's the magnitude of the static friction force (in N)? What is the minimum possible value of the coefficient of static friction between the box and the floor? (Assume the box remains stationary.)
A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
s shown, the mass of block 1 is m1 = 4.0 kg and the mass ofblock 2 is m2 = 8.0 kg. Block 1 sits on an incline with an angle of37º. The coefficient of kinetic friction between m1 and the inclinedsurface is μk = 0.40. (a) What is the minimum coefficient of staticfriction if the system is to remain at rest? b) Assuming that μs isless than this value, what is the acceleration of the system?
A 250lb block is initially at rest on the flat surface that is inclined at 30 degree. If the coefficient of kinetic friction is 0.30 and the coefficient of static friction is 0.40, find the force required to start the block moving up the plane
A 100 N force, directed at an angle u above a horizontal floor, is applied to a 25.0 kg chair sitting on the floor. If u =0, what are (a) the horizontal component Fh of the applied force and (b) the magnitude FN of the normal force of the floor on the chair? If u =30.0, what are (c) Fh and (d) FN? If u =60.0, what are (e) Fh and (f) FN? Now assume that the coefficient of static friction between chair and floor is 0.420. Does the chair slide or remain at rest if u is (g) 0, (h) 30.0, and (i) 60.0?
Two blocks are connected by a string passing over a pulley. if the coefficient of kinetic friction between block 1 and the ramp is uk is 0.160 and m1=3kg what mass m2 would allow blcok 1 to slide down the ramp at constant velocoty? first determine the direction of friction force on block 1
Enter an expression for the magnitude of the force of the bottom-most parcel on the center parcel valid for any value of the vertical acceleration, ay, using only the parameters provided in the palette
a 12.0 kg box is sitting motionless on a plane, which is tilted to an angle of 30 degrees. what must the minimum value of the coefficient of static friction between the box and the surface of the plane be, so that the box does not move? include a system diagram and a FBD in your solution,