Question

The position vector of a particle of mass 2kg is given as a function of time...

The position vector of a particle of mass 2kg is given as a function of time by:

r = (4i + 2t j + 0k) m, when t is given in seconds.

(a) Determine the angular momentum of the particle as a function of time.

(b) If the object was a sphere of radius 5 cm, what would be its rotational frequency?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(a)

the velocity is

then angular momentum is

(b)

the moment of inertia of solid sphere is

then

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the position vector for a particle is given as a function of time by...
Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.90 m/s, b = 1.10 m, c = 0.128 m/s2, and d = 1.12 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.75 s. vector v = m/s (b) Determine the velocity...
The vector position of a 3.80 g particle moving in the xy plane varies in time...
The vector position of a 3.80 g particle moving in the xy plane varies in time according to r (with arrow)1 = (3i + 3j)t + 2jt2 where t is in seconds and r with arrow is in centimeters. At the same time, the vector position of a 5.45 g particle varies as r (with arrow)2 = 3i − 2it2 − 6jt. (a) Determine the vector position of the center of mass at t = 2.90. (b) Determine the linear...
Suppose the position vector for a particle is given as a function of time by r...
Suppose the position vector for a particle is given as a function of time by r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.90 m/s, b = 1.50 m, c = 0.124 m/s2, and d = 1.08 m. (a) Calculate the average velocity during the time interval from t = 1.85 s to t = 4.05 s. (b) Determine the velocity at t = 1.85 s. Determine...
Suppose the position vector for a particle is given as a function of time by r...
Suppose the position vector for a particle is given as a function of time by r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.60 m/s, b = 1.05 m, c = 0.127 m/s2, and d = 1.20 m. (a) Calculate the average velocity during the time interval from t = 2.10 s to t = 4.25 s. (b) Determine the velocity at t = 2.10 s. dDetermine...
particle of mass m in R3 has position function r(t) =<x(t),y(t),z(t)>. Given that the tangent vector...
particle of mass m in R3 has position function r(t) =<x(t),y(t),z(t)>. Given that the tangent vector r0(t) has a constant length of 5, please prove that at all t values, the force F(t) acting on the particle is orthogonal to the tangent vector
A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j...
A particle of mass 2.00 kg moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the momentum of the particle at time t = 1.00 s. (b) Find the angular momentum about the origin at time t = 3.00 s.
A particle moves in the xy plane. Its position vector function of time is ?⃑ =...
A particle moves in the xy plane. Its position vector function of time is ?⃑ = (2?3 − 5?)?̂ + (6 − 7?4)?̂ where r is in meters and t is in seconds. a) In unit vector notation calculate the position vector at t =2 s. b) Find the magnitude and direction of the position vector for part a. c) In unit vector notation calculate the velocity vector at t =2 s. d) Find the magnitude and direction of the...
The position of a particle as a function of time is given by x(t) = (t...
The position of a particle as a function of time is given by x(t) = (t + 2t^2 + 3t^3) m. What is the average velocity between t = 2.0 s and 5.0 s? a. 123.0 m/s b. 132.0 m/s c. 213.0 m/s d. 321.0 m/s
A particle of mass m moves in a circle of radius R at a constant speed...
A particle of mass m moves in a circle of radius R at a constant speed v as shown in the figure. The motion begins at point Q at time t = 0. Determine the angular momentum of the particle about the axis perpendicular to the page through point P as a function of time.
A 3.00-kg particle starts from the origin at time zero. Its velocity as a function of...
A 3.00-kg particle starts from the origin at time zero. Its velocity as a function of time is given by v = (3t^2) i+ (2t) j where v is in meters per second and t is in seconds. (a) Find its position at t = 1s. (b) What is its acceleration at t = 1s ? (c) What is the net force exerted on the particle at t = 1s ?   (d) What is the net torque about the origin...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT