A particle of mass m starts at rest on top of a smooth fixed hemisphere of radius a. Using the Lagrangian equation with constraints, find the force of constraint, and determine the angle at which the particle leaves the hemisphere. A particle of mass m moves on the surface of a smooth fixed hemisphere.

Q: Describe how objects can become electrically charged Use Coulomb's law to compute the force between…

A: (i) How objects can become electrically charged. (ii) Force between two charges using Coulomb's law.

Q: 1. Let's practice using the right hand rule! Solve the following cross products: а. (+x)x (+у) b.…

A:

Q: Unit vector is equal to:  a.   Vector divided by its magnitude.  b.   Magnitude divided by its…

A: The quantity which comprises of magnitude as well as direction, is referred to as vector quantity. A…

Q: solve algebraic equation. The unknown is a a=(b+c)2/d b=4 c= -8 d=16

A: The algebraic equation is given as, a=b+c2d The variables are given as, b=4c=-8d=16

Q: In the figure, two 6.40 kg blocks are connected by a massless string over a pulley of radius 1.50 cm…

A: We are authorized to answer one Question at a time, since you have not mentioned which question you…

Q: - A horizontal force is applied to a 4.0 kg box. The box starts from rest moves a horizont- 20…

A:

Q: Determine the number of significant figures in the following numbers. a. 6.12 b. 4.009

A: Given data:  Two numbers 6.12 and 4.009 Required: The number of significant figures

Q: In the figure, block 1 has mass m₁ = 483 g, block 2 has mass m₂ = 560 g, and the pulley is on a…

A:

Q: One leg of a right triangle measures 11 cm. The hypotenuse is 1 cm longer than the other leg. Find…

A:

Q: add the vector

A: Let the three vectors be denoted as A, B and C.Resolve the three vectors along the coordinate axes…

Q: 9. Convert 3.14 rad into degree. OA. 180 OB. 45 O C. 60 OD. 30

A: According to question we need to convert rad to degree .

Q: The dot product of a̟ · a, is equal to: a. sin 0 cos o b. sin ø cos e c. cos o cos 0 d. sin ø sin 0

A: The unit vector ar in cartesian coordinates is given by

Q: 5. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from…

A: Given : |A| = 35 units θ = 325° counterclockwise from the positive x axis

Q: Which of the following is NOT TRUE?  a.   A vector has both magnitude and direction.  b.   Vector…

A:

Q: In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the…

A:

Q: An ideal monatomic gas expands adiabatically from 0.530 m³ to 1.72 m³. If the initial pressure and…

A: Given:-  An ideal monatomic gas expands adiabatically as the volume of gas changes as  Vi = 0.530 m3…

Q: 2. Express the force as a Cartesian vector in terms of unit vectors ‘i’ ‘j’ and ‘k’. Round to three…

A: The force acting on the system is given as, F=500 N. TO DETERMINE: The given force in cartesian…

Q: A vector, V, has a magnitude of 250 N and a direction of 65°. Determine the following: a. Vx = b.…

A: Given data:  Magnitude of the force vector (V) = 250 N Direction (θ) = 65° Required: The x and y…

Q: onconservative pushing force does 58.0 J of work. How much work is done by the pushing force when…

A:

Q: The illumination of an object by a light source is directly proportional to the strength of the…

A:

Q: on

A: Given: Mass is 50 kg Distance is 0.3 m