Physics

On a weekend archeological dig, you discover an old club-ax that consists of a symmetrical 8.3 kg stone attached to the end of a uniform 1.8 kg stick. You measure the dimensions of the club-ax as shown in the figure: the stick is 98 cm long, and the 18 cm long stone is drilled through its center and mounted on the stick. How far is the center of mass of the club-ax from the handle end of the club-ax?

  1. 👍
  2. 👎
  3. 👁
  1. CM of the stone is 9 cm from the edge, for the stick, 40 cm from the end, both by symmetry.

    putting the origin at the center of the stone
    r = 49/(1 + 8.3/1.8) = 8.73 cm
    that is from the center of the stone, which is 89 cm from the left end
    d = 89-8.73 = 80.27 cm

    as a check, make the stick the larger
    r = 49/(1 + 1.8/8.3) = 40.27 cm
    that + 40
    = 80.27 cm

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The drama club sold shirts and caps to raise money for the new stage equipment the club sold each shirt for $20. The club made a profit of $4 for each shirt sold. The drama club sold a total of $480 worth of shirts. How much

  2. Physics

    A golf club is swung with an average angular acceleration of 1.7 rad/s^2. If thee time from start of the swing until the club hits the ball is .7 s, what is the angular velocity of the club when it strikes the ball?

  3. maths

    A minor makes claim to a circular piece of land with a radius of 40 m from a given point, and is entitled to dig to a depth of 25 m. If the minor can dig tunnels at any angle, find the length of the longest straight tunnel that he

  4. Algebra

    The school photography club charges $10 for each photo in its annual pet photo contest. The club wants to save $75 of its earnings for a pizza party. The club members also want to have at least $50 left over after the pizza party

  1. Math(Please check! Thank You)

    List the intercepts and test for symmetry. y^2 - x - 4 = 0 I got (-4,0) and (0,2) for the intercepts. -y^2 - x - 4 = 0 Is not symmetrical to the x axis, correct? y^2-(-x) - 4 = 0 Is not symmetrical to the y axis, correct? -y^2 + x

  2. Math

    It takes 3 men to dig 2 identical trenches in 5 hours.If all the men work at same rate,how long will it take 5 men to dig 7 of these trenches?

  3. Algebra

    It takes 15 men working steadily 4 days to dig the foundation for a new apartment. How many days would it have taken 25 men working at the same rate to dig the foundation? Express your answer as a decimal to the nearest tenth.

  4. math

    A school has an art club, a drama club, and a cooking club. the ratio of the number of students in these clubs is given. art club to drama club 7 to 13. cooking club to art club 5 to 14. there are 130 students in the drama club.

  1. MATH

    IT TAKES 5 MEN 7 HOURS TO DIG 9 HOLES, HOW MANY HOURS/MINUTES DOES IT TAKE 1 MAN TO DIG A HALF A HOLE?

  2. math

    one out of every 4 students in a club is a girl.There are 20 students in the club.How many girls are in the club.How many boys are in the club??? explain.

  3. Chemistry

    A hydrocarbon consists of a benzene ring and two methyl groups. The methyl groups are located at opposite carbons and the molecule is perfectly symmetrical. Which option correctly describes the numbers of the carbon atoms the

  4. Math

    The ratio of boys to girls in the checkers club at one school is 2:3. the number of club members is more than 20 and fewer than 30. how many club members are there?

You can view more similar questions or ask a new question.