Question: A thin uniform rectangular sign hangs vertically above the door of a shop. The sign is hinged to a stationary horizontal rod along its top

A thin uniform rectangular sign hangs vertically above the door of a shop. The sign is hinged to a stationary horizontal rod along its top edge. The mass of the sign is 2.40 kg and its vertical dimension is 50.0 cm. The sign is swinging without friction, becoming a tempting target for children armed with snowballs. The maximum angular displacement of the sign is 25.0° on both sides of the vertical. At a moment when the sign is vertical and moving to the left, a snowball of mass 400 g, traveling horizontally with a velocity of 160 cm/s to the right, strikes perpendicularly the lower edge of the sign and sticks there.
(a) Calculate the angular speed of the sign immediately before the impact.
(b) Calculate its angular speed immediately after the impact.
(c) The spattered sign will swing up through what maximum angle?

Step by Step Solution

★★★★★

3.41 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c Let o be the angular speed of the signboard when ... 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)

P-M-A-M (38).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The gate AB is located at the end of a 6-ft-wide water channel and is supported by hinges along its top edge A. Knowing that the floor of the channel is frictionless, determine the reactions at A and...

A thin uniform rectangular plate of length a, width b and mass m has a moment of inertia 1/12 m(a2 + b2) about an axis through its centre and perpendicular to its plane. Identify the principal axes...

A uniform thin rod of length 0.500 m and mass 4.00 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.00 g bullet traveling in the rotation...

Please help me complete the tables! Thank you for your time! Data Table 1: Mass of Washers and Ruler Mass of 5 washers {g} Average mass of 1 washer [g] Mass of ruler {g} Data Table 2: Initial Data...

Question 1 of 20 > 1 I U'l l : View Policies Current Attempt in Progress Just after a motorcycle rides off the end of a ramp and launches into the air, its engine is turning counterclockwise at 7020...

Part A The three 220 g masses in (Figure 1) are connected by massless, rigid rods. Part B What is the triangle's kinetic energy if it rotates about the axis at 5.6 rev /s ? Express your answer with...

I need some guidance on how to do questions 1-6. This seems straightforward, but I just want some clarification on these listed questions. 1. (3 pts) Moment of Inertia. Consider a uniform thin rod of...

1. (3 pts) Moment of Inertia. Consider a uniform thin rod of mass M and length & but pivoted about an axis which can be anywhere along the rod's length. Call the distance from the left end of the rod...

Graphics from Slides: Here are several still images from slides of different useful equations. 1D Motion Physics is Calculus S position V velocity a acceleration I time differentiate differentiate S...

Consider the process of heating water on top of an electric range. What are the forms of energy involved during this process? What are the energy transformations that take place?

A work center has three machines (MA, MB, and MC) and tries to run (if possible) two of them in parallel at the same time. The management prefers to run MA and MC. Thus, MB (if it is not under repair...

I need 7 5 , 0 0 0 pounds of coffee in March of 2 0 2 6 . The value of the March 2 0 2 5 coffee futures contract is 1 2 0 today. As an importer of coffee, what are my alternatives based on this...

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional...

Harvey Gorman expects earnings of $92.5 million at the end of the year (at t=1 ) and to pay dividends of $40.0 million and buy back shares worth $11.6 million. For the following 17 years, earnings...

View Policies Current Attempt in Progress Construct a 2020 cash flow statement for this firm. (ff an amount reduces the cash flow then enter with negative sign preceding the number e.g. - 45 or...

Can you help me with these 5 questions. I could really use the help. Thank-You Indicate the answer choice that best completes the statement or answers the question 1. According to one study done some...