Question: A wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (Figure). At time t1, the dot P painted on the

A wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (Figure). At time t1, the dot P painted on the rim of the wheel is at the point of contact between the wheel and the floor. At a later time t2, the wheel has rolled through one-half of a revolution. What are?

(a) The magnitude and

(b) The angle (relative to the floor) of the displacement of P?

At time 2 At time 4

Step by Step Solution

★★★★★

3.44 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The point P is displaced vertically by 2R where R is the radius of the whee... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

2-P-M-V (282).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A wheel of radius r rolls without slipping along the inside of a fixed cylinder of radius R with a constant angular velocity . Denoting by P the point of the wheel in contact with the cylinder at t =...

A ball rolls without slipping along a horizontal plane. Show that the frictional force acting on the ball must be zero.

A hollow sphere (I = MR2) rolls without slipping along a flat surface then up a ramp. How far up the ramp, d, does it get before turning around? Challenge: In terms of the mass, m, and radius, R, of...

A wheel of radius 7 1 cm rolls without slipping along a horizontal floor. What is the magnitude and angle of displacement of the dot from where it started to where it ended? What if I had it roll...

Handwrit.e and show all work and steps please 84 Torque 25. (II) Calculate the net torque about the axle ofthe wheel shown in Fig. 842. Assume that a friction torque of 0.60 m - N opposes the motion....

10.9 -. The flywheel of an engine has moment of inertia 1.60 kg . m about its rotation axis. What constant torque is re- quired to bring it up to an angular speed of 400 rev/min in 8.00 s. starting...

Handwrit.e and show all work and steps 9. A bicycle wheel has an outside diameter of 66 cm. Through what distance does a point on the rim move as the wheel rotates through an angle of 70? B i U Font...

21) A uniform hollow spherical ball of mass 1.75 kg and radius 40.0 cm rolls without slipping up a ramp that rises at 30.0 above the horizontal. The speed of the ball at the base of the ramp is 2.63...

Unit 5.3 Rotational Dynamics A skater on ice begins to spin in the camel position, as shown in the figure to the left below. As she continues to spin, she straightens up, pulls her arms to her chest,...

Handwrit.e and show all work and steps 1. 85 and 86 Rotational Dynamics 31. 33. 35. 37. 39. 41. 43. (I) Estimate the moment of inertia of a bicycle wheel 67 cm in diameter. The rim and tire have a...

At the instant shown, bar AB has a constant angular velocity of 25 rad/s counterclockwise. Determine at that instant (a) The angular velocity of the rectangular plate FBDH, (b) The velocity of point...

Describe what happens to the slope of the tangent line to the graph of y = sin-1x at the point c if c approaches 1 from the left.

The bonds of Kantyn Corp. carry a 8 % coupon rate and mature in 6 years. Bonds of equivalent risk yield 6 . 6 % . What is the market value of Kantyn Corp's bonds?

The class should be divided into groups of four people. The four students in each group should go to the college gym or a local fitness center. The students should ask each person who comes through...

To choose k objects from n, you can make one of the objects distinguished and consider whether the distinguished object is chosen. Use this approach to prove that (:) - (":') - (:-) n | k k k 1

The ocean near Hawaii is 20C near the surface and 5C at some depth. A power plant based on this temperature difference is being planned. How large an efficiency could it have? If the two heat...

On 1 January 2016, Lessee Ltd (which applies IAS17) leases a machine from Lessor plc. The lease term is three years and lease payments of 1,000 per month are required. The machine has a useful life...

The 2015 American Community Survey estimated the median household income for each state. According to ACS, the 90% confidence interval for the 2015 median household income in New Jersey is $72,222 ...

Which of the following statements is most consistent with a capitalist market economy? (A) Economic resources are allocated according to the decisions of the central bank. (B) Private property is...

A point performs harmonic oscillations along a straight line with a period T = 0.60 s and an amplitude a = 10.0 cm. Find the mean velocity of the point averaged over the time interval during which it...

At the moment t = 0 a point starts oscillating along the x axis according to the law x = a sin (or. Find: (a) The mean value of its velocity vector projection (vx); (b) The modulus of the mean...

A particle moves along the x axis according to the law x = a cos wt. Find the distance that the particle covers during the time interval from t = 0 to t.

The Norwegian Krone ( NOK ) has weakened considerably relative to the dollar, and you are trying to decide whether this is a good time to invest in Norway. Suppose the current exchange rate of the...

QUESTIONS TO ANSWER: (PLEASE ANSWER ALL) 1. What is the annual carrying cost for the zen-zens? 2. What is the annual ordering cost for the zen-zens? 3. What is the optimal order quantity for the...

A European at - the - money put option on the British pound has 1 year until maturity. The exchange rate volatility is 1 0 % , the U . S . risk - free rate is 1 . 0 % , and the U . K . risk - free...