fall ground, stumble, trip
摔 centers on losing one's footing and falling: stumbling, tripping, or falling to the ground.
摔 combines 扌 (hand) with 率, which likely contributes the sound and may relate to leading or pulling, but the exact historical development of the meaning 'fall' is uncertain.
The hand radical 扌 beside 率 suggests a hand losing its grip or control, causing a stumble or fall to the ground.
For シュツ, imagine a hand slipping and the person falling with a sudden 'shoot' sound as they hit the ground: shoot -> シュツ.
—