PN 25 NOT TO SCALE 28 A particle of mass 1.8 kg is placed on a rough plane which is inclined at an angle of 28° to the horizontal. The particle is kept in equilibrium by a force of magnitude PN acting up the plane at 25° above the line of greatest horizontal slope, as shown in the diagram above. The coefficient of fniction between the particle and the plane is 0.32. Find the set of possible values ofP.

Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k - 5i с. (А х В) x С C =…

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Q: If C is added to B. the result is -9å + 5ĵ. If B is subtracted from C. the result is 4î – ĵ . Find…

A: C→ + B→ = -9i^ + 5j^    ...(1)C→ - B→ = 4i^ -j^    ...(2)

Q: x² – 16 (x – 2)(x + 1)

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Q: what direction is the vector going in when vx - vy

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Q: (a) Find the unit vector that is in the same direction as the vector Å = 1.8î – 1.2j – 1.4k. (b)…

A: Any vector is represented as  A→=A→u^Au^A is the unit vecor in the direction of A→ A→ is the…

Q: Given two vectors A = - 2.00 + 3.00ĵ + 4.00 k and B = 3.00 î+ 1.00 – 3.00 k, (a) find the magnitude…

A: We have to calculate the magnitude of each vector. Given Data, A→=-2.0 i^+3.0 j^+4.0 k^B→=3.0 i^+1.0…

Q: Q1: A) A copper tape has a length 30 m in a winter day when temperature is (-10 ° C) .how much…

A: Length , L = 30 m T1 = -10 °C = 263 K T2 = 40 °C = 313 K Thermal expansion , α = 17 x 10-6 K-1

Q: 1. What must be the magnitude of a uniform electric field, in order that an electron initially at…

A: Solution 1. Given, electron gets acceleration = 2×1012 m/s2 we know that charge of electron =…

Q: What is the vector product of: 2i + k and i + j?

A: The first vector, The second vector,

Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Eij and k are the usual unit vectors in the x, y and z directions, find aixi c.

A: As we know that i, j and k are unit vectors along the x, y and z directions. These unit vectors are…

Q: To find the resultant vector's direction; the angle the vector makes with the x-axis can be…

A: Given, Resultant R vector of two forces In this  question, we have to find the angle made by the…

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: a. Draw the components of forces T1 and T2 along the x and y axes and list the values (ignore signs…

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Q: Problem 1: Suppose A (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D = (-2.48…

A: Determine the magnitude of the given vectors as follows. A=-3.03 m2+4.35 m2=5.30 mB=2.71 m2+-4.29…

Q: The electron in a hydrogen atom is in the state |v) = N[3]v100) + 4 |w211)] where ynlm represents…

A: Given: |ψ>=N3|ψ100>+4|ψ211>N=15Now, H will be Hamiltonian of |ψ> ifH|ψ>=E|ψ>For…

Q: , find K =?.

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Q: describe how finding the magnitude of a two-dimensional vector is different than finding the…

A: Solution: The two dimensional vector in terms of cartesian unit vector in x-y plane is given as r→=x…

Q: (a) What energy is dissipated by a lightning bolt having a 20,700 A current, a voltage of 117 MV,…

A: Solution: as given I = 20700 A V = 117 MV t = 1 ms

Q: Find the result of the expression

A: Given,  2,1Lx2,0we…

Q: 2. If r= (x, y, z), prove that ▼ (²-) = - =

A: Given  r=(x,y,z) we need to prove   ∇1r=-rr3 where ∇ is called the nabla operator and ∇1r denotes…

Q: Given vector A =   and vector B = , what is A dot B?

A: Given            A = <10, 20, 18>          B = <16, -17, -24>

Q: Let vector a = <5,2,4> and vector b = <-4,2,0>. Find vector 2a+3b

A: The objective of the question is to find the resultant vector of 2a+3b, where a and b are given…

Q: Given the vectors; Ả = i + 2j + 3k B = 4i + 5j + 6k Ĉ = 3i+2j + k D = 6i + 5j + 4k

A: According to Bartleby Guidelines, I am going to answer only one question, kindly ask another…

Q: 'mres In the following problem all angles are measured counter-clockwise from the positive x-axis.…

A: Given Data : The magnitude of vector A is given as A = 11.5. The direction of vector A is given as…

Q: QUESTION 1: The velocity of a particle v(t)= Br² + Ft+G m/s . At time t = (A+6)s, the position of…

A: This problem is from Kinematics. Let's solve this problem by using simple mathematics. Please have a…

Q: 1) You are given a tube with a diameter of d = 37.38 mm. Calculate the End-Correction Factor (ECF).…

A: Given : Diameter of the tube = 37.38 mm

Q: 4. At the vertices of a hexagon with sides of length, a, are located charges identical in magnitude…

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Q: 200 m y ---- x

A: Give:- vAB= 26.14 i + 10.1576j m/s vAB=28.045 m/s  Find:- write vAB in terms of polar coordinate

Q: Vector A= -6i+4j Vector B= -3i-8j How do you find the quantity of abs(A+B)?

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Q: Please Solve D and E.

A: d) The equation for the velocity is given by, Substituting the values in equation (1),

Q: Solve the unknown. Express the answer in two decimal places. Given: q1q2 = 2e- r = 5.0 x 10-11 m…

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Q: Determine the unit of the quantity C in the equation: A = B2C + D   where D is in [m] and B is in…

A: Given information :- expression ->   A = B2C + D unit of D  = [m] unit of B = [m/s]

Q: dy dx2 Let - 49 - 5y = 0, suppose the solution has the form y = ex. dy %3D dx Find the…

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Q: A =3.55 5.07; B =1.47 +4.23; What is the magnitude of A x B- Please express your answer to 3…

A: Given: A→=3.55i^-5.07j^B→=1.47i^+4.23j^

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics. 

Equilibrium of Forces

The tension created on one body during push or pull is known as force.