Fabien leaps off the edge of a cliff, not realizing he would…

Fabien leaps off the edge of a cliff, not realizing he would likely die from the fall. Luckily his friend Gimble snares him with a lasso connected to a 4 m long rope. Once Fabien is hanging stationary with Gimble bravely holding the other end of the rope, Gimble notices that the rope has stretched by 10 cm. Assuming the rope has a diameter of 3 cm and Fabien has a mass of 28 kg, what is the Young’s modulus of the rope?

Glim starts walking to the right along a precariously positi…

Glim starts walking to the right along a precariously positioned beam. The 45 kg, 5.0-m-long beam is supported by, but not attached to, two poles placed underneath the beam. The first pole is at the leftmost end, and the second pole is 3 m to the right of the first one. Once Glim gets 1.6 m from the right end of the beam, it starts to tip over. What is Glim’s mass?

Ellywick decides to try to move through a forest by brachiat…

Ellywick decides to try to move through a forest by brachiation, swinging below a handhold to move forward to the next handhold. Weighing 40 kg, Ellywick has an arm length (hand to shoulder) of 0.60 m. We can model her motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of her swing, Ellywick is moving at 2.9 m/s. What upward force must a branch provide to support the swinging Ellywick? 

Glim starts walking to the right along a precariously positi…

Glim starts walking to the right along a precariously positioned beam. The 45 kg, 5.0-m-long beam is supported by, but not attached to, two poles placed underneath the beam. The first pole is at the left end, and the second pole is 3 m to the right of the first one. Once Glim gets 1.6 m from the right end of the beam, it starts to tip over. What is Glim’s mass?

Two planets, Fibblestib and Dimble, orbit a single star. The…

Two planets, Fibblestib and Dimble, orbit a single star. The gravitational force from the star on planet Fibblestib is two times the force from the star on planet Dimble. Also, planet Dimble has three times the mass of planet Fibblestib. What is the ratio of the two planets’ orbital radii RFibblestib/RDimble?

Carlin hangs a sign in front of her shop with a cable held a…

Carlin hangs a sign in front of her shop with a cable held away from the building by a lightweight pole. The cable makes an angle of 60 degrees with the wall, and the sign hangs from the edge of the pole, which has a length of 1.5 m and is perpendicular to the wall. Once the sign is set up, Carlin measures a tension in the cable of 150 N. What is the mass of the sign?